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Finding the Third Proportional to 167,664 and 366,432

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Solution

The third proportional to 167,664 and 366,432 is: 800,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,664 : 366,432 = 366,432 : x
  2. Step 2: Convert to fraction form
    167,664/366,432 = 366,432/x
  3. Step 3: Cross multiply
    167,664x = 366,432 × 366,432
  4. Step 4: Simplify right side
    167,664x = 134,272,410,624
  5. Step 5: Solve for x
    x = 134,272,410,624/167,664
  6. Step 6: Final answer
    x = 800,842.22

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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.