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Finding the Third Proportional to 135,577.97 and 258,854.06

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Solution

The third proportional to 135,577.97 and 258,854.06 is: 494,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,577.97 : 258,854.06 = 258,854.06 : x
  2. Step 2: Convert to fraction form
    135,577.97/258,854.06 = 258,854.06/x
  3. Step 3: Cross multiply
    135,577.97x = 258,854.06 × 258,854.06
  4. Step 4: Simplify right side
    135,577.97x = 67,005,425,672.75
  5. Step 5: Solve for x
    x = 67,005,425,672.75/135,577.97
  6. Step 6: Final answer
    x = 494,220.60

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.