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Finding the Third Proportional to 117,072 and 260,347.50

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Solution

The third proportional to 117,072 and 260,347.50 is: 578,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,072 : 260,347.50 = 260,347.50 : x
  2. Step 2: Convert to fraction form
    117,072/260,347.50 = 260,347.50/x
  3. Step 3: Cross multiply
    117,072x = 260,347.50 × 260,347.50
  4. Step 4: Simplify right side
    117,072x = 67,780,820,756.25
  5. Step 5: Solve for x
    x = 67,780,820,756.25/117,072
  6. Step 6: Final answer
    x = 578,966.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.