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Finding the Third Proportional to 94,697 and 203,731

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Solution

The third proportional to 94,697 and 203,731 is: 438,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,697 : 203,731 = 203,731 : x
  2. Step 2: Convert to fraction form
    94,697/203,731 = 203,731/x
  3. Step 3: Cross multiply
    94,697x = 203,731 × 203,731
  4. Step 4: Simplify right side
    94,697x = 41,506,320,361
  5. Step 5: Solve for x
    x = 41,506,320,361/94,697
  6. Step 6: Final answer
    x = 438,306.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.