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Finding the Third Proportional to 106,670 and 230,452

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Solution

The third proportional to 106,670 and 230,452 is: 497,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,670 : 230,452 = 230,452 : x
  2. Step 2: Convert to fraction form
    106,670/230,452 = 230,452/x
  3. Step 3: Cross multiply
    106,670x = 230,452 × 230,452
  4. Step 4: Simplify right side
    106,670x = 53,108,124,304
  5. Step 5: Solve for x
    x = 53,108,124,304/106,670
  6. Step 6: Final answer
    x = 497,873.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.