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Finding the Third Proportional to 106,574 and 233,452

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Solution

The third proportional to 106,574 and 233,452 is: 511,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,574 : 233,452 = 233,452 : x
  2. Step 2: Convert to fraction form
    106,574/233,452 = 233,452/x
  3. Step 3: Cross multiply
    106,574x = 233,452 × 233,452
  4. Step 4: Simplify right side
    106,574x = 54,499,836,304
  5. Step 5: Solve for x
    x = 54,499,836,304/106,574
  6. Step 6: Final answer
    x = 511,380.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.