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Finding the Third Proportional to 149,326 and 231,550

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Solution

The third proportional to 149,326 and 231,550 is: 359,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,326 : 231,550 = 231,550 : x
  2. Step 2: Convert to fraction form
    149,326/231,550 = 231,550/x
  3. Step 3: Cross multiply
    149,326x = 231,550 × 231,550
  4. Step 4: Simplify right side
    149,326x = 53,615,402,500
  5. Step 5: Solve for x
    x = 53,615,402,500/149,326
  6. Step 6: Final answer
    x = 359,049.35

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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.