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Finding the Third Proportional to 107,471 and 233,599

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Solution

The third proportional to 107,471 and 233,599 is: 507,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,471 : 233,599 = 233,599 : x
  2. Step 2: Convert to fraction form
    107,471/233,599 = 233,599/x
  3. Step 3: Cross multiply
    107,471x = 233,599 × 233,599
  4. Step 4: Simplify right side
    107,471x = 54,568,492,801
  5. Step 5: Solve for x
    x = 54,568,492,801/107,471
  6. Step 6: Final answer
    x = 507,750.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.