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Finding the Third Proportional to 173,666 and 262,347

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Solution

The third proportional to 173,666 and 262,347 is: 396,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,666 : 262,347 = 262,347 : x
  2. Step 2: Convert to fraction form
    173,666/262,347 = 262,347/x
  3. Step 3: Cross multiply
    173,666x = 262,347 × 262,347
  4. Step 4: Simplify right side
    173,666x = 68,825,948,409
  5. Step 5: Solve for x
    x = 68,825,948,409/173,666
  6. Step 6: Final answer
    x = 396,312.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.