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Finding the Third Proportional to 169,038 and 254,232

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Solution

The third proportional to 169,038 and 254,232 is: 382,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,038 : 254,232 = 254,232 : x
  2. Step 2: Convert to fraction form
    169,038/254,232 = 254,232/x
  3. Step 3: Cross multiply
    169,038x = 254,232 × 254,232
  4. Step 4: Simplify right side
    169,038x = 64,633,909,824
  5. Step 5: Solve for x
    x = 64,633,909,824/169,038
  6. Step 6: Final answer
    x = 382,363.20

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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.