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Finding the Third Proportional to 218,532 and 337,502.25

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Solution

The third proportional to 218,532 and 337,502.25 is: 521,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,532 : 337,502.25 = 337,502.25 : x
  2. Step 2: Convert to fraction form
    218,532/337,502.25 = 337,502.25/x
  3. Step 3: Cross multiply
    218,532x = 337,502.25 × 337,502.25
  4. Step 4: Simplify right side
    218,532x = 113,907,768,755.06
  5. Step 5: Solve for x
    x = 113,907,768,755.06/218,532
  6. Step 6: Final answer
    x = 521,240.68

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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.