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Finding the Third Proportional to 141,545 and 309,343

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Solution

The third proportional to 141,545 and 309,343 is: 676,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,545 : 309,343 = 309,343 : x
  2. Step 2: Convert to fraction form
    141,545/309,343 = 309,343/x
  3. Step 3: Cross multiply
    141,545x = 309,343 × 309,343
  4. Step 4: Simplify right side
    141,545x = 95,693,091,649
  5. Step 5: Solve for x
    x = 95,693,091,649/141,545
  6. Step 6: Final answer
    x = 676,061.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.