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Finding the Third Proportional to 169,718 and 353,380

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Solution

The third proportional to 169,718 and 353,380 is: 735,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,718 : 353,380 = 353,380 : x
  2. Step 2: Convert to fraction form
    169,718/353,380 = 353,380/x
  3. Step 3: Cross multiply
    169,718x = 353,380 × 353,380
  4. Step 4: Simplify right side
    169,718x = 124,877,424,400
  5. Step 5: Solve for x
    x = 124,877,424,400/169,718
  6. Step 6: Final answer
    x = 735,793.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.