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Finding the Third Proportional to 152,635 and 224,379

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Solution

The third proportional to 152,635 and 224,379 is: 329,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,635 : 224,379 = 224,379 : x
  2. Step 2: Convert to fraction form
    152,635/224,379 = 224,379/x
  3. Step 3: Cross multiply
    152,635x = 224,379 × 224,379
  4. Step 4: Simplify right side
    152,635x = 50,345,935,641
  5. Step 5: Solve for x
    x = 50,345,935,641/152,635
  6. Step 6: Final answer
    x = 329,845.29

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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.