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Finding the Third Proportional to 152,631 and 224,374.22

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Solution

The third proportional to 152,631 and 224,374.22 is: 329,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,631 : 224,374.22 = 224,374.22 : x
  2. Step 2: Convert to fraction form
    152,631/224,374.22 = 224,374.22/x
  3. Step 3: Cross multiply
    152,631x = 224,374.22 × 224,374.22
  4. Step 4: Simplify right side
    152,631x = 50,343,790,039.67
  5. Step 5: Solve for x
    x = 50,343,790,039.67/152,631
  6. Step 6: Final answer
    x = 329,839.88

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