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Finding the Third Proportional to 231,869.25 and 368,841.94

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Solution

The third proportional to 231,869.25 and 368,841.94 is: 586,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,869.25 : 368,841.94 = 368,841.94 : x
  2. Step 2: Convert to fraction form
    231,869.25/368,841.94 = 368,841.94/x
  3. Step 3: Cross multiply
    231,869.25x = 368,841.94 × 368,841.94
  4. Step 4: Simplify right side
    231,869.25x = 136,044,374,858.75
  5. Step 5: Solve for x
    x = 136,044,374,858.75/231,869.25
  6. Step 6: Final answer
    x = 586,728.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.