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Finding the Third Proportional to 153,632 and 237,372

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Solution

The third proportional to 153,632 and 237,372 is: 366,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,632 : 237,372 = 237,372 : x
  2. Step 2: Convert to fraction form
    153,632/237,372 = 237,372/x
  3. Step 3: Cross multiply
    153,632x = 237,372 × 237,372
  4. Step 4: Simplify right side
    153,632x = 56,345,466,384
  5. Step 5: Solve for x
    x = 56,345,466,384/153,632
  6. Step 6: Final answer
    x = 366,756.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.