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Finding the Third Proportional to 98,640 and 215,734

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Solution

The third proportional to 98,640 and 215,734 is: 471,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,640 : 215,734 = 215,734 : x
  2. Step 2: Convert to fraction form
    98,640/215,734 = 215,734/x
  3. Step 3: Cross multiply
    98,640x = 215,734 × 215,734
  4. Step 4: Simplify right side
    98,640x = 46,541,158,756
  5. Step 5: Solve for x
    x = 46,541,158,756/98,640
  6. Step 6: Final answer
    x = 471,828.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.