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Finding the Third Proportional to 149,496 and 231,716

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Solution

The third proportional to 149,496 and 231,716 is: 359,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,496 : 231,716 = 231,716 : x
  2. Step 2: Convert to fraction form
    149,496/231,716 = 231,716/x
  3. Step 3: Cross multiply
    149,496x = 231,716 × 231,716
  4. Step 4: Simplify right side
    149,496x = 53,692,304,656
  5. Step 5: Solve for x
    x = 53,692,304,656/149,496
  6. Step 6: Final answer
    x = 359,155.46

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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.