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Finding the Third Proportional to 135,456.75 and 296,605.13

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Solution

The third proportional to 135,456.75 and 296,605.13 is: 649,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,456.75 : 296,605.13 = 296,605.13 : x
  2. Step 2: Convert to fraction form
    135,456.75/296,605.13 = 296,605.13/x
  3. Step 3: Cross multiply
    135,456.75x = 296,605.13 × 296,605.13
  4. Step 4: Simplify right side
    135,456.75x = 87,974,600,176.27
  5. Step 5: Solve for x
    x = 87,974,600,176.27/135,456.75
  6. Step 6: Final answer
    x = 649,466.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.