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Finding the Third Proportional to 169,524 and 262,658.25

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Solution

The third proportional to 169,524 and 262,658.25 is: 406,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,524 : 262,658.25 = 262,658.25 : x
  2. Step 2: Convert to fraction form
    169,524/262,658.25 = 262,658.25/x
  3. Step 3: Cross multiply
    169,524x = 262,658.25 × 262,658.25
  4. Step 4: Simplify right side
    169,524x = 68,989,356,293.06
  5. Step 5: Solve for x
    x = 68,989,356,293.06/169,524
  6. Step 6: Final answer
    x = 406,959.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.