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Finding the Third Proportional to 152,652 and 224,561

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Solution

The third proportional to 152,652 and 224,561 is: 330,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,652 : 224,561 = 224,561 : x
  2. Step 2: Convert to fraction form
    152,652/224,561 = 224,561/x
  3. Step 3: Cross multiply
    152,652x = 224,561 × 224,561
  4. Step 4: Simplify right side
    152,652x = 50,427,642,721
  5. Step 5: Solve for x
    x = 50,427,642,721/152,652
  6. Step 6: Final answer
    x = 330,343.81

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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.