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Finding the Third Proportional to 219,080 and 352,716

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Solution

The third proportional to 219,080 and 352,716 is: 567,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,080 : 352,716 = 352,716 : x
  2. Step 2: Convert to fraction form
    219,080/352,716 = 352,716/x
  3. Step 3: Cross multiply
    219,080x = 352,716 × 352,716
  4. Step 4: Simplify right side
    219,080x = 124,408,576,656
  5. Step 5: Solve for x
    x = 124,408,576,656/219,080
  6. Step 6: Final answer
    x = 567,868.25

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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.