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Finding the Third Proportional to 170,434 and 266,775

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Solution

The third proportional to 170,434 and 266,775 is: 417,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,434 : 266,775 = 266,775 : x
  2. Step 2: Convert to fraction form
    170,434/266,775 = 266,775/x
  3. Step 3: Cross multiply
    170,434x = 266,775 × 266,775
  4. Step 4: Simplify right side
    170,434x = 71,168,900,625
  5. Step 5: Solve for x
    x = 71,168,900,625/170,434
  6. Step 6: Final answer
    x = 417,574.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.