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Finding the Third Proportional to 182,251.42 and 245,345.52

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Solution

The third proportional to 182,251.42 and 245,345.52 is: 330,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,251.42 : 245,345.52 = 245,345.52 : x
  2. Step 2: Convert to fraction form
    182,251.42/245,345.52 = 245,345.52/x
  3. Step 3: Cross multiply
    182,251.42x = 245,345.52 × 245,345.52
  4. Step 4: Simplify right side
    182,251.42x = 60,194,423,954.05
  5. Step 5: Solve for x
    x = 60,194,423,954.05/182,251.42
  6. Step 6: Final answer
    x = 330,282.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.