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Finding the Third Proportional to 243,654.33 and 374,996.46

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Solution

The third proportional to 243,654.33 and 374,996.46 is: 577,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,654.33 : 374,996.46 = 374,996.46 : x
  2. Step 2: Convert to fraction form
    243,654.33/374,996.46 = 374,996.46/x
  3. Step 3: Cross multiply
    243,654.33x = 374,996.46 × 374,996.46
  4. Step 4: Simplify right side
    243,654.33x = 140,622,345,715.65
  5. Step 5: Solve for x
    x = 140,622,345,715.65/243,654.33
  6. Step 6: Final answer
    x = 577,138.71

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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.