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Finding the Third Proportional to 98,582 and 216,844

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Solution

The third proportional to 98,582 and 216,844 is: 476,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,582 : 216,844 = 216,844 : x
  2. Step 2: Convert to fraction form
    98,582/216,844 = 216,844/x
  3. Step 3: Cross multiply
    98,582x = 216,844 × 216,844
  4. Step 4: Simplify right side
    98,582x = 47,021,320,336
  5. Step 5: Solve for x
    x = 47,021,320,336/98,582
  6. Step 6: Final answer
    x = 476,976.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.