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Finding the Third Proportional to 239,152.50 and 524,955.94

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Solution

The third proportional to 239,152.50 and 524,955.94 is: 1,152,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,152.50 : 524,955.94 = 524,955.94 : x
  2. Step 2: Convert to fraction form
    239,152.50/524,955.94 = 524,955.94/x
  3. Step 3: Cross multiply
    239,152.50x = 524,955.94 × 524,955.94
  4. Step 4: Simplify right side
    239,152.50x = 275,578,736,316.50
  5. Step 5: Solve for x
    x = 275,578,736,316.50/239,152.50
  6. Step 6: Final answer
    x = 1,152,313.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.