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Finding the Third Proportional to 141,482 and 306,292

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Solution

The third proportional to 141,482 and 306,292 is: 663,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,482 : 306,292 = 306,292 : x
  2. Step 2: Convert to fraction form
    141,482/306,292 = 306,292/x
  3. Step 3: Cross multiply
    141,482x = 306,292 × 306,292
  4. Step 4: Simplify right side
    141,482x = 93,814,789,264
  5. Step 5: Solve for x
    x = 93,814,789,264/141,482
  6. Step 6: Final answer
    x = 663,086.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.