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Finding the Third Proportional to 151,407 and 235,107.75

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Solution

The third proportional to 151,407 and 235,107.75 is: 365,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,407 : 235,107.75 = 235,107.75 : x
  2. Step 2: Convert to fraction form
    151,407/235,107.75 = 235,107.75/x
  3. Step 3: Cross multiply
    151,407x = 235,107.75 × 235,107.75
  4. Step 4: Simplify right side
    151,407x = 55,275,654,110.06
  5. Step 5: Solve for x
    x = 55,275,654,110.06/151,407
  6. Step 6: Final answer
    x = 365,079.91

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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.