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Finding the Third Proportional to 132,224 and 285,488

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Solution

The third proportional to 132,224 and 285,488 is: 616,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,224 : 285,488 = 285,488 : x
  2. Step 2: Convert to fraction form
    132,224/285,488 = 285,488/x
  3. Step 3: Cross multiply
    132,224x = 285,488 × 285,488
  4. Step 4: Simplify right side
    132,224x = 81,503,398,144
  5. Step 5: Solve for x
    x = 81,503,398,144/132,224
  6. Step 6: Final answer
    x = 616,403.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.