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Finding the Third Proportional to 151,449.75 and 235,164.38

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Solution

The third proportional to 151,449.75 and 235,164.38 is: 365,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,449.75 : 235,164.38 = 235,164.38 : x
  2. Step 2: Convert to fraction form
    151,449.75/235,164.38 = 235,164.38/x
  3. Step 3: Cross multiply
    151,449.75x = 235,164.38 × 235,164.38
  4. Step 4: Simplify right side
    151,449.75x = 55,302,283,269.14
  5. Step 5: Solve for x
    x = 55,302,283,269.14/151,449.75
  6. Step 6: Final answer
    x = 365,152.69

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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.