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Finding the Third Proportional to 170,309 and 257,831

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Solution

The third proportional to 170,309 and 257,831 is: 390,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,309 : 257,831 = 257,831 : x
  2. Step 2: Convert to fraction form
    170,309/257,831 = 257,831/x
  3. Step 3: Cross multiply
    170,309x = 257,831 × 257,831
  4. Step 4: Simplify right side
    170,309x = 66,476,824,561
  5. Step 5: Solve for x
    x = 66,476,824,561/170,309
  6. Step 6: Final answer
    x = 390,330.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.