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Finding the Third Proportional to 152,703 and 224,478

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Solution

The third proportional to 152,703 and 224,478 is: 329,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,703 : 224,478 = 224,478 : x
  2. Step 2: Convert to fraction form
    152,703/224,478 = 224,478/x
  3. Step 3: Cross multiply
    152,703x = 224,478 × 224,478
  4. Step 4: Simplify right side
    152,703x = 50,390,372,484
  5. Step 5: Solve for x
    x = 50,390,372,484/152,703
  6. Step 6: Final answer
    x = 329,989.41

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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.