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Finding the Third Proportional to 169,970 and 262,275

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Solution

The third proportional to 169,970 and 262,275 is: 404,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,970 : 262,275 = 262,275 : x
  2. Step 2: Convert to fraction form
    169,970/262,275 = 262,275/x
  3. Step 3: Cross multiply
    169,970x = 262,275 × 262,275
  4. Step 4: Simplify right side
    169,970x = 68,788,175,625
  5. Step 5: Solve for x
    x = 68,788,175,625/169,970
  6. Step 6: Final answer
    x = 404,707.75

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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.