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Finding the Third Proportional to 180,950 and 386,746

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Solution

The third proportional to 180,950 and 386,746 is: 826,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,950 : 386,746 = 386,746 : x
  2. Step 2: Convert to fraction form
    180,950/386,746 = 386,746/x
  3. Step 3: Cross multiply
    180,950x = 386,746 × 386,746
  4. Step 4: Simplify right side
    180,950x = 149,572,468,516
  5. Step 5: Solve for x
    x = 149,572,468,516/180,950
  6. Step 6: Final answer
    x = 826,595.57

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