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Finding the Third Proportional to 173,776 and 380,765

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Solution

The third proportional to 173,776 and 380,765 is: 834,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,776 : 380,765 = 380,765 : x
  2. Step 2: Convert to fraction form
    173,776/380,765 = 380,765/x
  3. Step 3: Cross multiply
    173,776x = 380,765 × 380,765
  4. Step 4: Simplify right side
    173,776x = 144,981,985,225
  5. Step 5: Solve for x
    x = 144,981,985,225/173,776
  6. Step 6: Final answer
    x = 834,303.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.