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Finding the Third Proportional to 202,098 and 424,500

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Solution

The third proportional to 202,098 and 424,500 is: 891,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,098 : 424,500 = 424,500 : x
  2. Step 2: Convert to fraction form
    202,098/424,500 = 424,500/x
  3. Step 3: Cross multiply
    202,098x = 424,500 × 424,500
  4. Step 4: Simplify right side
    202,098x = 180,200,250,000
  5. Step 5: Solve for x
    x = 180,200,250,000/202,098
  6. Step 6: Final answer
    x = 891,647.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.