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Finding the Third Proportional to 140,897.92 and 286,716.58

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Solution

The third proportional to 140,897.92 and 286,716.58 is: 583,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,897.92 : 286,716.58 = 286,716.58 : x
  2. Step 2: Convert to fraction form
    140,897.92/286,716.58 = 286,716.58/x
  3. Step 3: Cross multiply
    140,897.92x = 286,716.58 × 286,716.58
  4. Step 4: Simplify right side
    140,897.92x = 82,206,396,171.71
  5. Step 5: Solve for x
    x = 82,206,396,171.71/140,897.92
  6. Step 6: Final answer
    x = 583,446.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.