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Finding the Third Proportional to 163,074.38 and 259,434.56

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Solution

The third proportional to 163,074.38 and 259,434.56 is: 412,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,074.38 : 259,434.56 = 259,434.56 : x
  2. Step 2: Convert to fraction form
    163,074.38/259,434.56 = 259,434.56/x
  3. Step 3: Cross multiply
    163,074.38x = 259,434.56 × 259,434.56
  4. Step 4: Simplify right side
    163,074.38x = 67,306,292,219.57
  5. Step 5: Solve for x
    x = 67,306,292,219.57/163,074.38
  6. Step 6: Final answer
    x = 412,733.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.