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Finding the Third Proportional to 121,458.38 and 266,829.75

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Solution

The third proportional to 121,458.38 and 266,829.75 is: 586,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,458.38 : 266,829.75 = 266,829.75 : x
  2. Step 2: Convert to fraction form
    121,458.38/266,829.75 = 266,829.75/x
  3. Step 3: Cross multiply
    121,458.38x = 266,829.75 × 266,829.75
  4. Step 4: Simplify right side
    121,458.38x = 71,198,115,485.06
  5. Step 5: Solve for x
    x = 71,198,115,485.06/121,458.38
  6. Step 6: Final answer
    x = 586,193.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.