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Finding the Third Proportional to 243,698 and 363,525

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Solution

The third proportional to 243,698 and 363,525 is: 542,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,698 : 363,525 = 363,525 : x
  2. Step 2: Convert to fraction form
    243,698/363,525 = 363,525/x
  3. Step 3: Cross multiply
    243,698x = 363,525 × 363,525
  4. Step 4: Simplify right side
    243,698x = 132,150,425,625
  5. Step 5: Solve for x
    x = 132,150,425,625/243,698
  6. Step 6: Final answer
    x = 542,271.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.