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Finding the Third Proportional to 152,871.75 and 252,660.38

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Solution

The third proportional to 152,871.75 and 252,660.38 is: 417,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,871.75 : 252,660.38 = 252,660.38 : x
  2. Step 2: Convert to fraction form
    152,871.75/252,660.38 = 252,660.38/x
  3. Step 3: Cross multiply
    152,871.75x = 252,660.38 × 252,660.38
  4. Step 4: Simplify right side
    152,871.75x = 63,837,265,095.14
  5. Step 5: Solve for x
    x = 63,837,265,095.14/152,871.75
  6. Step 6: Final answer
    x = 417,587.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.