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Finding the Third Proportional to 151,613.25 and 235,082.25

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Solution

The third proportional to 151,613.25 and 235,082.25 is: 364,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,613.25 : 235,082.25 = 235,082.25 : x
  2. Step 2: Convert to fraction form
    151,613.25/235,082.25 = 235,082.25/x
  3. Step 3: Cross multiply
    151,613.25x = 235,082.25 × 235,082.25
  4. Step 4: Simplify right side
    151,613.25x = 55,263,664,265.06
  5. Step 5: Solve for x
    x = 55,263,664,265.06/151,613.25
  6. Step 6: Final answer
    x = 364,504.19

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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.