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Finding the Third Proportional to 218,655.38 and 337,323

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Solution

The third proportional to 218,655.38 and 337,323 is: 520,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,655.38 : 337,323 = 337,323 : x
  2. Step 2: Convert to fraction form
    218,655.38/337,323 = 337,323/x
  3. Step 3: Cross multiply
    218,655.38x = 337,323 × 337,323
  4. Step 4: Simplify right side
    218,655.38x = 113,786,806,329
  5. Step 5: Solve for x
    x = 113,786,806,329/218,655.38
  6. Step 6: Final answer
    x = 520,393.36

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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.