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Finding the Third Proportional to 135,403.92 and 209,554.75

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Solution

The third proportional to 135,403.92 and 209,554.75 is: 324,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,403.92 : 209,554.75 = 209,554.75 : x
  2. Step 2: Convert to fraction form
    135,403.92/209,554.75 = 209,554.75/x
  3. Step 3: Cross multiply
    135,403.92x = 209,554.75 × 209,554.75
  4. Step 4: Simplify right side
    135,403.92x = 43,913,194,066.13
  5. Step 5: Solve for x
    x = 43,913,194,066.13/135,403.92
  6. Step 6: Final answer
    x = 324,312.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.