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Finding the Third Proportional to 153,931 and 230,282

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Solution

The third proportional to 153,931 and 230,282 is: 344,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,931 : 230,282 = 230,282 : x
  2. Step 2: Convert to fraction form
    153,931/230,282 = 230,282/x
  3. Step 3: Cross multiply
    153,931x = 230,282 × 230,282
  4. Step 4: Simplify right side
    153,931x = 53,029,799,524
  5. Step 5: Solve for x
    x = 53,029,799,524/153,931
  6. Step 6: Final answer
    x = 344,503.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.