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Finding the Third Proportional to 167,607 and 215,196.75

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Solution

The third proportional to 167,607 and 215,196.75 is: 276,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,607 : 215,196.75 = 215,196.75 : x
  2. Step 2: Convert to fraction form
    167,607/215,196.75 = 215,196.75/x
  3. Step 3: Cross multiply
    167,607x = 215,196.75 × 215,196.75
  4. Step 4: Simplify right side
    167,607x = 46,309,641,210.56
  5. Step 5: Solve for x
    x = 46,309,641,210.56/167,607
  6. Step 6: Final answer
    x = 276,298.97

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.