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Finding the Third Proportional to 172,796 and 359,383

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Solution

The third proportional to 172,796 and 359,383 is: 747,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,796 : 359,383 = 359,383 : x
  2. Step 2: Convert to fraction form
    172,796/359,383 = 359,383/x
  3. Step 3: Cross multiply
    172,796x = 359,383 × 359,383
  4. Step 4: Simplify right side
    172,796x = 129,156,140,689
  5. Step 5: Solve for x
    x = 129,156,140,689/172,796
  6. Step 6: Final answer
    x = 747,448.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.