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Finding the Third Proportional to 215,802 and 326,700

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Solution

The third proportional to 215,802 and 326,700 is: 494,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,802 : 326,700 = 326,700 : x
  2. Step 2: Convert to fraction form
    215,802/326,700 = 326,700/x
  3. Step 3: Cross multiply
    215,802x = 326,700 × 326,700
  4. Step 4: Simplify right side
    215,802x = 106,732,890,000
  5. Step 5: Solve for x
    x = 106,732,890,000/215,802
  6. Step 6: Final answer
    x = 494,587.12

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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.