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Finding the Third Proportional to 131,924.25 and 204,403.50

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Solution

The third proportional to 131,924.25 and 204,403.50 is: 316,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,924.25 : 204,403.50 = 204,403.50 : x
  2. Step 2: Convert to fraction form
    131,924.25/204,403.50 = 204,403.50/x
  3. Step 3: Cross multiply
    131,924.25x = 204,403.50 × 204,403.50
  4. Step 4: Simplify right side
    131,924.25x = 41,780,790,812.25
  5. Step 5: Solve for x
    x = 41,780,790,812.25/131,924.25
  6. Step 6: Final answer
    x = 316,702.89

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Why These Related Problems?

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