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Finding the Third Proportional to 169,920 and 254,944

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Solution

The third proportional to 169,920 and 254,944 is: 382,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,920 : 254,944 = 254,944 : x
  2. Step 2: Convert to fraction form
    169,920/254,944 = 254,944/x
  3. Step 3: Cross multiply
    169,920x = 254,944 × 254,944
  4. Step 4: Simplify right side
    169,920x = 64,996,443,136
  5. Step 5: Solve for x
    x = 64,996,443,136/169,920
  6. Step 6: Final answer
    x = 382,512.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.