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Finding the Third Proportional to 243,566 and 382,181

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Solution

The third proportional to 243,566 and 382,181 is: 599,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,566 : 382,181 = 382,181 : x
  2. Step 2: Convert to fraction form
    243,566/382,181 = 382,181/x
  3. Step 3: Cross multiply
    243,566x = 382,181 × 382,181
  4. Step 4: Simplify right side
    243,566x = 146,062,316,761
  5. Step 5: Solve for x
    x = 146,062,316,761/243,566
  6. Step 6: Final answer
    x = 599,682.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.