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Finding the Third Proportional to 131,672.25 and 310,636.69

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Solution

The third proportional to 131,672.25 and 310,636.69 is: 732,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,672.25 : 310,636.69 = 310,636.69 : x
  2. Step 2: Convert to fraction form
    131,672.25/310,636.69 = 310,636.69/x
  3. Step 3: Cross multiply
    131,672.25x = 310,636.69 × 310,636.69
  4. Step 4: Simplify right side
    131,672.25x = 96,495,151,620.97
  5. Step 5: Solve for x
    x = 96,495,151,620.97/131,672.25
  6. Step 6: Final answer
    x = 732,843.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.