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Finding the Third Proportional to 106,672 and 233,432

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Solution

The third proportional to 106,672 and 233,432 is: 510,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,672 : 233,432 = 233,432 : x
  2. Step 2: Convert to fraction form
    106,672/233,432 = 233,432/x
  3. Step 3: Cross multiply
    106,672x = 233,432 × 233,432
  4. Step 4: Simplify right side
    106,672x = 54,490,498,624
  5. Step 5: Solve for x
    x = 54,490,498,624/106,672
  6. Step 6: Final answer
    x = 510,822.88

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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.