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Finding the Third Proportional to 197,434 and 288,748

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Solution

The third proportional to 197,434 and 288,748 is: 422,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,434 : 288,748 = 288,748 : x
  2. Step 2: Convert to fraction form
    197,434/288,748 = 288,748/x
  3. Step 3: Cross multiply
    197,434x = 288,748 × 288,748
  4. Step 4: Simplify right side
    197,434x = 83,375,407,504
  5. Step 5: Solve for x
    x = 83,375,407,504/197,434
  6. Step 6: Final answer
    x = 422,295.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.