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Finding the Third Proportional to 107,141 and 230,406

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Solution

The third proportional to 107,141 and 230,406 is: 495,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,141 : 230,406 = 230,406 : x
  2. Step 2: Convert to fraction form
    107,141/230,406 = 230,406/x
  3. Step 3: Cross multiply
    107,141x = 230,406 × 230,406
  4. Step 4: Simplify right side
    107,141x = 53,086,924,836
  5. Step 5: Solve for x
    x = 53,086,924,836/107,141
  6. Step 6: Final answer
    x = 495,486.55

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