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Finding the Third Proportional to 151,404 and 235,101.75

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Solution

The third proportional to 151,404 and 235,101.75 is: 365,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,404 : 235,101.75 = 235,101.75 : x
  2. Step 2: Convert to fraction form
    151,404/235,101.75 = 235,101.75/x
  3. Step 3: Cross multiply
    151,404x = 235,101.75 × 235,101.75
  4. Step 4: Simplify right side
    151,404x = 55,272,832,853.06
  5. Step 5: Solve for x
    x = 55,272,832,853.06/151,404
  6. Step 6: Final answer
    x = 365,068.51

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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.