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Finding the Third Proportional to 177,377 and 410,211

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Solution

The third proportional to 177,377 and 410,211 is: 948,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,377 : 410,211 = 410,211 : x
  2. Step 2: Convert to fraction form
    177,377/410,211 = 410,211/x
  3. Step 3: Cross multiply
    177,377x = 410,211 × 410,211
  4. Step 4: Simplify right side
    177,377x = 168,273,064,521
  5. Step 5: Solve for x
    x = 168,273,064,521/177,377
  6. Step 6: Final answer
    x = 948,674.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.