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Finding the Third Proportional to 138,486.38 and 298,155.94

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Solution

The third proportional to 138,486.38 and 298,155.94 is: 641,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,486.38 : 298,155.94 = 298,155.94 : x
  2. Step 2: Convert to fraction form
    138,486.38/298,155.94 = 298,155.94/x
  3. Step 3: Cross multiply
    138,486.38x = 298,155.94 × 298,155.94
  4. Step 4: Simplify right side
    138,486.38x = 88,896,963,066.50
  5. Step 5: Solve for x
    x = 88,896,963,066.50/138,486.38
  6. Step 6: Final answer
    x = 641,918.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.