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Finding the Third Proportional to 153,042 and 224,523

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Solution

The third proportional to 153,042 and 224,523 is: 329,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,042 : 224,523 = 224,523 : x
  2. Step 2: Convert to fraction form
    153,042/224,523 = 224,523/x
  3. Step 3: Cross multiply
    153,042x = 224,523 × 224,523
  4. Step 4: Simplify right side
    153,042x = 50,410,577,529
  5. Step 5: Solve for x
    x = 50,410,577,529/153,042
  6. Step 6: Final answer
    x = 329,390.48

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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.