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Finding the Third Proportional to 106,560 and 233,424

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Solution

The third proportional to 106,560 and 233,424 is: 511,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,560 : 233,424 = 233,424 : x
  2. Step 2: Convert to fraction form
    106,560/233,424 = 233,424/x
  3. Step 3: Cross multiply
    106,560x = 233,424 × 233,424
  4. Step 4: Simplify right side
    106,560x = 54,486,763,776
  5. Step 5: Solve for x
    x = 54,486,763,776/106,560
  6. Step 6: Final answer
    x = 511,324.74

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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.