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Finding the Third Proportional to 132,219 and 293,868

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Solution

The third proportional to 132,219 and 293,868 is: 653,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,219 : 293,868 = 293,868 : x
  2. Step 2: Convert to fraction form
    132,219/293,868 = 293,868/x
  3. Step 3: Cross multiply
    132,219x = 293,868 × 293,868
  4. Step 4: Simplify right side
    132,219x = 86,358,401,424
  5. Step 5: Solve for x
    x = 86,358,401,424/132,219
  6. Step 6: Final answer
    x = 653,146.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.