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Finding the Third Proportional to 224,100 and 300,294

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Solution

The third proportional to 224,100 and 300,294 is: 402,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,100 : 300,294 = 300,294 : x
  2. Step 2: Convert to fraction form
    224,100/300,294 = 300,294/x
  3. Step 3: Cross multiply
    224,100x = 300,294 × 300,294
  4. Step 4: Simplify right side
    224,100x = 90,176,486,436
  5. Step 5: Solve for x
    x = 90,176,486,436/224,100
  6. Step 6: Final answer
    x = 402,393.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.