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Finding the Third Proportional to 170,492 and 262,134

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Solution

The third proportional to 170,492 and 262,134 is: 403,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,492 : 262,134 = 262,134 : x
  2. Step 2: Convert to fraction form
    170,492/262,134 = 262,134/x
  3. Step 3: Cross multiply
    170,492x = 262,134 × 262,134
  4. Step 4: Simplify right side
    170,492x = 68,714,233,956
  5. Step 5: Solve for x
    x = 68,714,233,956/170,492
  6. Step 6: Final answer
    x = 403,034.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.