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Finding the Third Proportional to 141,782 and 309,320

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Solution

The third proportional to 141,782 and 309,320 is: 674,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,782 : 309,320 = 309,320 : x
  2. Step 2: Convert to fraction form
    141,782/309,320 = 309,320/x
  3. Step 3: Cross multiply
    141,782x = 309,320 × 309,320
  4. Step 4: Simplify right side
    141,782x = 95,678,862,400
  5. Step 5: Solve for x
    x = 95,678,862,400/141,782
  6. Step 6: Final answer
    x = 674,830.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.