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Finding the Third Proportional to 151,482 and 224,294

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Solution

The third proportional to 151,482 and 224,294 is: 332,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,482 : 224,294 = 224,294 : x
  2. Step 2: Convert to fraction form
    151,482/224,294 = 224,294/x
  3. Step 3: Cross multiply
    151,482x = 224,294 × 224,294
  4. Step 4: Simplify right side
    151,482x = 50,307,798,436
  5. Step 5: Solve for x
    x = 50,307,798,436/151,482
  6. Step 6: Final answer
    x = 332,104.13

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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.