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Finding the Third Proportional to 205,046.44 and 310,402.13

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Solution

The third proportional to 205,046.44 and 310,402.13 is: 469,891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,046.44 : 310,402.13 = 310,402.13 : x
  2. Step 2: Convert to fraction form
    205,046.44/310,402.13 = 310,402.13/x
  3. Step 3: Cross multiply
    205,046.44x = 310,402.13 × 310,402.13
  4. Step 4: Simplify right side
    205,046.44x = 96,349,479,204.52
  5. Step 5: Solve for x
    x = 96,349,479,204.52/205,046.44
  6. Step 6: Final answer
    x = 469,891.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.