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Finding the Third Proportional to 136,347.75 and 318,452

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Solution

The third proportional to 136,347.75 and 318,452 is: 743,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,347.75 : 318,452 = 318,452 : x
  2. Step 2: Convert to fraction form
    136,347.75/318,452 = 318,452/x
  3. Step 3: Cross multiply
    136,347.75x = 318,452 × 318,452
  4. Step 4: Simplify right side
    136,347.75x = 101,411,676,304
  5. Step 5: Solve for x
    x = 101,411,676,304/136,347.75
  6. Step 6: Final answer
    x = 743,772.28

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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.