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Finding the Third Proportional to 252,357.38 and 387,890.75

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Solution

The third proportional to 252,357.38 and 387,890.75 is: 596,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,357.38 : 387,890.75 = 387,890.75 : x
  2. Step 2: Convert to fraction form
    252,357.38/387,890.75 = 387,890.75/x
  3. Step 3: Cross multiply
    252,357.38x = 387,890.75 × 387,890.75
  4. Step 4: Simplify right side
    252,357.38x = 150,459,233,935.56
  5. Step 5: Solve for x
    x = 150,459,233,935.56/252,357.38
  6. Step 6: Final answer
    x = 596,214.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.