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Finding the Third Proportional to 152,287.88 and 223,237.13

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Solution

The third proportional to 152,287.88 and 223,237.13 is: 327,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,287.88 : 223,237.13 = 223,237.13 : x
  2. Step 2: Convert to fraction form
    152,287.88/223,237.13 = 223,237.13/x
  3. Step 3: Cross multiply
    152,287.88x = 223,237.13 × 223,237.13
  4. Step 4: Simplify right side
    152,287.88x = 49,834,813,978.27
  5. Step 5: Solve for x
    x = 49,834,813,978.27/152,287.88
  6. Step 6: Final answer
    x = 327,240.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.