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Finding the Third Proportional to 243,716 and 363,537

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Solution

The third proportional to 243,716 and 363,537 is: 542,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,716 : 363,537 = 363,537 : x
  2. Step 2: Convert to fraction form
    243,716/363,537 = 363,537/x
  3. Step 3: Cross multiply
    243,716x = 363,537 × 363,537
  4. Step 4: Simplify right side
    243,716x = 132,159,150,369
  5. Step 5: Solve for x
    x = 132,159,150,369/243,716
  6. Step 6: Final answer
    x = 542,267.03

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Why These Related Problems?

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