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Finding the Third Proportional to 152,421.75 and 214,452.56

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Solution

The third proportional to 152,421.75 and 214,452.56 is: 301,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,421.75 : 214,452.56 = 214,452.56 : x
  2. Step 2: Convert to fraction form
    152,421.75/214,452.56 = 214,452.56/x
  3. Step 3: Cross multiply
    152,421.75x = 214,452.56 × 214,452.56
  4. Step 4: Simplify right side
    152,421.75x = 45,989,901,562.82
  5. Step 5: Solve for x
    x = 45,989,901,562.82/152,421.75
  6. Step 6: Final answer
    x = 301,727.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.