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Finding the Third Proportional to 151,515 and 224,343

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Solution

The third proportional to 151,515 and 224,343 is: 332,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,515 : 224,343 = 224,343 : x
  2. Step 2: Convert to fraction form
    151,515/224,343 = 224,343/x
  3. Step 3: Cross multiply
    151,515x = 224,343 × 224,343
  4. Step 4: Simplify right side
    151,515x = 50,329,781,649
  5. Step 5: Solve for x
    x = 50,329,781,649/151,515
  6. Step 6: Final answer
    x = 332,176.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.