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Finding the Third Proportional to 219,078 and 352,713

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Solution

The third proportional to 219,078 and 352,713 is: 567,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,078 : 352,713 = 352,713 : x
  2. Step 2: Convert to fraction form
    219,078/352,713 = 352,713/x
  3. Step 3: Cross multiply
    219,078x = 352,713 × 352,713
  4. Step 4: Simplify right side
    219,078x = 124,406,460,369
  5. Step 5: Solve for x
    x = 124,406,460,369/219,078
  6. Step 6: Final answer
    x = 567,863.78

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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.