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Finding the Third Proportional to 134,166.38 and 286,948.83

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Solution

The third proportional to 134,166.38 and 286,948.83 is: 613,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,166.38 : 286,948.83 = 286,948.83 : x
  2. Step 2: Convert to fraction form
    134,166.38/286,948.83 = 286,948.83/x
  3. Step 3: Cross multiply
    134,166.38x = 286,948.83 × 286,948.83
  4. Step 4: Simplify right side
    134,166.38x = 82,339,629,962.31
  5. Step 5: Solve for x
    x = 82,339,629,962.31/134,166.38
  6. Step 6: Final answer
    x = 613,712.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.