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Finding the Third Proportional to 245,932.03 and 361,864.97

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Solution

The third proportional to 245,932.03 and 361,864.97 is: 532,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,932.03 : 361,864.97 = 361,864.97 : x
  2. Step 2: Convert to fraction form
    245,932.03/361,864.97 = 361,864.97/x
  3. Step 3: Cross multiply
    245,932.03x = 361,864.97 × 361,864.97
  4. Step 4: Simplify right side
    245,932.03x = 130,946,255,608.44
  5. Step 5: Solve for x
    x = 130,946,255,608.44/245,932.03
  6. Step 6: Final answer
    x = 532,448.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.