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Finding the Third Proportional to 219,265.75 and 471,167

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Solution

The third proportional to 219,265.75 and 471,167 is: 1,012,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,265.75 : 471,167 = 471,167 : x
  2. Step 2: Convert to fraction form
    219,265.75/471,167 = 471,167/x
  3. Step 3: Cross multiply
    219,265.75x = 471,167 × 471,167
  4. Step 4: Simplify right side
    219,265.75x = 221,998,341,889
  5. Step 5: Solve for x
    x = 221,998,341,889/219,265.75
  6. Step 6: Final answer
    x = 1,012,462.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.