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Finding the Third Proportional to 243,691 and 365,536

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Solution

The third proportional to 243,691 and 365,536 is: 548,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,691 : 365,536 = 365,536 : x
  2. Step 2: Convert to fraction form
    243,691/365,536 = 365,536/x
  3. Step 3: Cross multiply
    243,691x = 365,536 × 365,536
  4. Step 4: Simplify right side
    243,691x = 133,616,567,296
  5. Step 5: Solve for x
    x = 133,616,567,296/243,691
  6. Step 6: Final answer
    x = 548,303.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.