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Finding the Third Proportional to 243,301.50 and 374,481

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Solution

The third proportional to 243,301.50 and 374,481 is: 576,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,301.50 : 374,481 = 374,481 : x
  2. Step 2: Convert to fraction form
    243,301.50/374,481 = 374,481/x
  3. Step 3: Cross multiply
    243,301.50x = 374,481 × 374,481
  4. Step 4: Simplify right side
    243,301.50x = 140,236,019,361
  5. Step 5: Solve for x
    x = 140,236,019,361/243,301.50
  6. Step 6: Final answer
    x = 576,387.81

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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.