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Finding the Third Proportional to 243,633.38 and 374,959.13

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Solution

The third proportional to 243,633.38 and 374,959.13 is: 577,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,633.38 : 374,959.13 = 374,959.13 : x
  2. Step 2: Convert to fraction form
    243,633.38/374,959.13 = 374,959.13/x
  3. Step 3: Cross multiply
    243,633.38x = 374,959.13 × 374,959.13
  4. Step 4: Simplify right side
    243,633.38x = 140,594,345,420.77
  5. Step 5: Solve for x
    x = 140,594,345,420.77/243,633.38
  6. Step 6: Final answer
    x = 577,073.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.