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Finding the Third Proportional to 136,331.25 and 318,411.38

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Solution

The third proportional to 136,331.25 and 318,411.38 is: 743,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,331.25 : 318,411.38 = 318,411.38 : x
  2. Step 2: Convert to fraction form
    136,331.25/318,411.38 = 318,411.38/x
  3. Step 3: Cross multiply
    136,331.25x = 318,411.38 × 318,411.38
  4. Step 4: Simplify right side
    136,331.25x = 101,385,803,729.39
  5. Step 5: Solve for x
    x = 101,385,803,729.39/136,331.25
  6. Step 6: Final answer
    x = 743,672.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.