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Finding the Third Proportional to 219,084 and 352,722

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Solution

The third proportional to 219,084 and 352,722 is: 567,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,084 : 352,722 = 352,722 : x
  2. Step 2: Convert to fraction form
    219,084/352,722 = 352,722/x
  3. Step 3: Cross multiply
    219,084x = 352,722 × 352,722
  4. Step 4: Simplify right side
    219,084x = 124,412,809,284
  5. Step 5: Solve for x
    x = 124,412,809,284/219,084
  6. Step 6: Final answer
    x = 567,877.20

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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.