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Finding the Third Proportional to 119,420 and 167,384

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Solution

The third proportional to 119,420 and 167,384 is: 234,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,420 : 167,384 = 167,384 : x
  2. Step 2: Convert to fraction form
    119,420/167,384 = 167,384/x
  3. Step 3: Cross multiply
    119,420x = 167,384 × 167,384
  4. Step 4: Simplify right side
    119,420x = 28,017,403,456
  5. Step 5: Solve for x
    x = 28,017,403,456/119,420
  6. Step 6: Final answer
    x = 234,612.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.