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Finding the Third Proportional to 141,802 and 309,362

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Solution

The third proportional to 141,802 and 309,362 is: 674,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802 : 309,362 = 309,362 : x
  2. Step 2: Convert to fraction form
    141,802/309,362 = 309,362/x
  3. Step 3: Cross multiply
    141,802x = 309,362 × 309,362
  4. Step 4: Simplify right side
    141,802x = 95,704,847,044
  5. Step 5: Solve for x
    x = 95,704,847,044/141,802
  6. Step 6: Final answer
    x = 674,918.88

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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.