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Finding the Third Proportional to 172,106 and 371,404

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Solution

The third proportional to 172,106 and 371,404 is: 801,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,106 : 371,404 = 371,404 : x
  2. Step 2: Convert to fraction form
    172,106/371,404 = 371,404/x
  3. Step 3: Cross multiply
    172,106x = 371,404 × 371,404
  4. Step 4: Simplify right side
    172,106x = 137,940,931,216
  5. Step 5: Solve for x
    x = 137,940,931,216/172,106
  6. Step 6: Final answer
    x = 801,488.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.