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Finding the Third Proportional to 131,884 and 293,252

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Solution

The third proportional to 131,884 and 293,252 is: 652,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,884 : 293,252 = 293,252 : x
  2. Step 2: Convert to fraction form
    131,884/293,252 = 293,252/x
  3. Step 3: Cross multiply
    131,884x = 293,252 × 293,252
  4. Step 4: Simplify right side
    131,884x = 85,996,735,504
  5. Step 5: Solve for x
    x = 85,996,735,504/131,884
  6. Step 6: Final answer
    x = 652,063.45

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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.