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Finding the Third Proportional to 219,086 and 352,725

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Solution

The third proportional to 219,086 and 352,725 is: 567,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,086 : 352,725 = 352,725 : x
  2. Step 2: Convert to fraction form
    219,086/352,725 = 352,725/x
  3. Step 3: Cross multiply
    219,086x = 352,725 × 352,725
  4. Step 4: Simplify right side
    219,086x = 124,414,925,625
  5. Step 5: Solve for x
    x = 124,414,925,625/219,086
  6. Step 6: Final answer
    x = 567,881.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.