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Finding the Third Proportional to 205,377 and 441,310

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Solution

The third proportional to 205,377 and 441,310 is: 948,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,377 : 441,310 = 441,310 : x
  2. Step 2: Convert to fraction form
    205,377/441,310 = 441,310/x
  3. Step 3: Cross multiply
    205,377x = 441,310 × 441,310
  4. Step 4: Simplify right side
    205,377x = 194,754,516,100
  5. Step 5: Solve for x
    x = 194,754,516,100/205,377
  6. Step 6: Final answer
    x = 948,278.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.