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Finding the Third Proportional to 180,765 and 375,867

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Solution

The third proportional to 180,765 and 375,867 is: 781,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,765 : 375,867 = 375,867 : x
  2. Step 2: Convert to fraction form
    180,765/375,867 = 375,867/x
  3. Step 3: Cross multiply
    180,765x = 375,867 × 375,867
  4. Step 4: Simplify right side
    180,765x = 141,276,001,689
  5. Step 5: Solve for x
    x = 141,276,001,689/180,765
  6. Step 6: Final answer
    x = 781,545.11

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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.