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Finding the Third Proportional to 180,948 and 386,814

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Solution

The third proportional to 180,948 and 386,814 is: 826,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,948 : 386,814 = 386,814 : x
  2. Step 2: Convert to fraction form
    180,948/386,814 = 386,814/x
  3. Step 3: Cross multiply
    180,948x = 386,814 × 386,814
  4. Step 4: Simplify right side
    180,948x = 149,625,070,596
  5. Step 5: Solve for x
    x = 149,625,070,596/180,948
  6. Step 6: Final answer
    x = 826,895.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.