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Finding the Third Proportional to 97,287 and 201,864

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Solution

The third proportional to 97,287 and 201,864 is: 418,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,287 : 201,864 = 201,864 : x
  2. Step 2: Convert to fraction form
    97,287/201,864 = 201,864/x
  3. Step 3: Cross multiply
    97,287x = 201,864 × 201,864
  4. Step 4: Simplify right side
    97,287x = 40,749,074,496
  5. Step 5: Solve for x
    x = 40,749,074,496/97,287
  6. Step 6: Final answer
    x = 418,854.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.