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Finding the Third Proportional to 217,320 and 345,798

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Solution

The third proportional to 217,320 and 345,798 is: 550,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,320 : 345,798 = 345,798 : x
  2. Step 2: Convert to fraction form
    217,320/345,798 = 345,798/x
  3. Step 3: Cross multiply
    217,320x = 345,798 × 345,798
  4. Step 4: Simplify right side
    217,320x = 119,576,256,804
  5. Step 5: Solve for x
    x = 119,576,256,804/217,320
  6. Step 6: Final answer
    x = 550,231.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.