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Finding the Third Proportional to 152,624.25 and 233,472.38

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Solution

The third proportional to 152,624.25 and 233,472.38 is: 357,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,624.25 : 233,472.38 = 233,472.38 : x
  2. Step 2: Convert to fraction form
    152,624.25/233,472.38 = 233,472.38/x
  3. Step 3: Cross multiply
    152,624.25x = 233,472.38 × 233,472.38
  4. Step 4: Simplify right side
    152,624.25x = 54,509,349,888.14
  5. Step 5: Solve for x
    x = 54,509,349,888.14/152,624.25
  6. Step 6: Final answer
    x = 357,147.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.