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Finding the Third Proportional to 138,282 and 303,460

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Solution

The third proportional to 138,282 and 303,460 is: 665,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,282 : 303,460 = 303,460 : x
  2. Step 2: Convert to fraction form
    138,282/303,460 = 303,460/x
  3. Step 3: Cross multiply
    138,282x = 303,460 × 303,460
  4. Step 4: Simplify right side
    138,282x = 92,087,971,600
  5. Step 5: Solve for x
    x = 92,087,971,600/138,282
  6. Step 6: Final answer
    x = 665,943.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.