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Finding the Third Proportional to 132,412 and 302,518

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Solution

The third proportional to 132,412 and 302,518 is: 691,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,412 : 302,518 = 302,518 : x
  2. Step 2: Convert to fraction form
    132,412/302,518 = 302,518/x
  3. Step 3: Cross multiply
    132,412x = 302,518 × 302,518
  4. Step 4: Simplify right side
    132,412x = 91,517,140,324
  5. Step 5: Solve for x
    x = 91,517,140,324/132,412
  6. Step 6: Final answer
    x = 691,154.43

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.