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Finding the Third Proportional to 106,500 and 233,304

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Solution

The third proportional to 106,500 and 233,304 is: 511,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,500 : 233,304 = 233,304 : x
  2. Step 2: Convert to fraction form
    106,500/233,304 = 233,304/x
  3. Step 3: Cross multiply
    106,500x = 233,304 × 233,304
  4. Step 4: Simplify right side
    106,500x = 54,430,756,416
  5. Step 5: Solve for x
    x = 54,430,756,416/106,500
  6. Step 6: Final answer
    x = 511,086.91

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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.