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Finding the Third Proportional to 182,257.50 and 392,452.50

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Solution

The third proportional to 182,257.50 and 392,452.50 is: 845,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,257.50 : 392,452.50 = 392,452.50 : x
  2. Step 2: Convert to fraction form
    182,257.50/392,452.50 = 392,452.50/x
  3. Step 3: Cross multiply
    182,257.50x = 392,452.50 × 392,452.50
  4. Step 4: Simplify right side
    182,257.50x = 154,018,964,756.25
  5. Step 5: Solve for x
    x = 154,018,964,756.25/182,257.50
  6. Step 6: Final answer
    x = 845,062.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.