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Finding the Third Proportional to 106,062 and 230,350

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Solution

The third proportional to 106,062 and 230,350 is: 500,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,062 : 230,350 = 230,350 : x
  2. Step 2: Convert to fraction form
    106,062/230,350 = 230,350/x
  3. Step 3: Cross multiply
    106,062x = 230,350 × 230,350
  4. Step 4: Simplify right side
    106,062x = 53,061,122,500
  5. Step 5: Solve for x
    x = 53,061,122,500/106,062
  6. Step 6: Final answer
    x = 500,284.01

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Why These Related Problems?

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