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Finding the Third Proportional to 145,643 and 316,198

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Solution

The third proportional to 145,643 and 316,198 is: 686,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,643 : 316,198 = 316,198 : x
  2. Step 2: Convert to fraction form
    145,643/316,198 = 316,198/x
  3. Step 3: Cross multiply
    145,643x = 316,198 × 316,198
  4. Step 4: Simplify right side
    145,643x = 99,981,175,204
  5. Step 5: Solve for x
    x = 99,981,175,204/145,643
  6. Step 6: Final answer
    x = 686,481.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.