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Finding the Third Proportional to 138,466 and 300,260

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Solution

The third proportional to 138,466 and 300,260 is: 651,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,466 : 300,260 = 300,260 : x
  2. Step 2: Convert to fraction form
    138,466/300,260 = 300,260/x
  3. Step 3: Cross multiply
    138,466x = 300,260 × 300,260
  4. Step 4: Simplify right side
    138,466x = 90,156,067,600
  5. Step 5: Solve for x
    x = 90,156,067,600/138,466
  6. Step 6: Final answer
    x = 651,106.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.