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Finding the Third Proportional to 120,301 and 243,517

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Solution

The third proportional to 120,301 and 243,517 is: 492,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,301 : 243,517 = 243,517 : x
  2. Step 2: Convert to fraction form
    120,301/243,517 = 243,517/x
  3. Step 3: Cross multiply
    120,301x = 243,517 × 243,517
  4. Step 4: Simplify right side
    120,301x = 59,300,529,289
  5. Step 5: Solve for x
    x = 59,300,529,289/120,301
  6. Step 6: Final answer
    x = 492,934.63

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.