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Finding the Third Proportional to 247,304 and 373,266

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Solution

The third proportional to 247,304 and 373,266 is: 563,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,304 : 373,266 = 373,266 : x
  2. Step 2: Convert to fraction form
    247,304/373,266 = 373,266/x
  3. Step 3: Cross multiply
    247,304x = 373,266 × 373,266
  4. Step 4: Simplify right side
    247,304x = 139,327,506,756
  5. Step 5: Solve for x
    x = 139,327,506,756/247,304
  6. Step 6: Final answer
    x = 563,385.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.