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Finding the Third Proportional to 239,530.50 and 375,753

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Solution

The third proportional to 239,530.50 and 375,753 is: 589,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,530.50 : 375,753 = 375,753 : x
  2. Step 2: Convert to fraction form
    239,530.50/375,753 = 375,753/x
  3. Step 3: Cross multiply
    239,530.50x = 375,753 × 375,753
  4. Step 4: Simplify right side
    239,530.50x = 141,190,317,009
  5. Step 5: Solve for x
    x = 141,190,317,009/239,530.50
  6. Step 6: Final answer
    x = 589,446.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.