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Finding the Third Proportional to 243,972 and 514,188

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Solution

The third proportional to 243,972 and 514,188 is: 1,083,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,972 : 514,188 = 514,188 : x
  2. Step 2: Convert to fraction form
    243,972/514,188 = 514,188/x
  3. Step 3: Cross multiply
    243,972x = 514,188 × 514,188
  4. Step 4: Simplify right side
    243,972x = 264,389,299,344
  5. Step 5: Solve for x
    x = 264,389,299,344/243,972
  6. Step 6: Final answer
    x = 1,083,687.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.