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Finding the Third Proportional to 167,905 and 232,716

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Solution

The third proportional to 167,905 and 232,716 is: 322,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,905 : 232,716 = 232,716 : x
  2. Step 2: Convert to fraction form
    167,905/232,716 = 232,716/x
  3. Step 3: Cross multiply
    167,905x = 232,716 × 232,716
  4. Step 4: Simplify right side
    167,905x = 54,156,736,656
  5. Step 5: Solve for x
    x = 54,156,736,656/167,905
  6. Step 6: Final answer
    x = 322,543.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.