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Finding the Third Proportional to 215,307 and 320,499

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Solution

The third proportional to 215,307 and 320,499 is: 477,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,307 : 320,499 = 320,499 : x
  2. Step 2: Convert to fraction form
    215,307/320,499 = 320,499/x
  3. Step 3: Cross multiply
    215,307x = 320,499 × 320,499
  4. Step 4: Simplify right side
    215,307x = 102,719,609,001
  5. Step 5: Solve for x
    x = 102,719,609,001/215,307
  6. Step 6: Final answer
    x = 477,084.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.