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Finding the Third Proportional to 136,572.75 and 295,609.50

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Solution

The third proportional to 136,572.75 and 295,609.50 is: 639,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,572.75 : 295,609.50 = 295,609.50 : x
  2. Step 2: Convert to fraction form
    136,572.75/295,609.50 = 295,609.50/x
  3. Step 3: Cross multiply
    136,572.75x = 295,609.50 × 295,609.50
  4. Step 4: Simplify right side
    136,572.75x = 87,384,976,490.25
  5. Step 5: Solve for x
    x = 87,384,976,490.25/136,572.75
  6. Step 6: Final answer
    x = 639,841.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.