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Finding the Third Proportional to 98,382 and 215,232

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Solution

The third proportional to 98,382 and 215,232 is: 470,866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382 : 215,232 = 215,232 : x
  2. Step 2: Convert to fraction form
    98,382/215,232 = 215,232/x
  3. Step 3: Cross multiply
    98,382x = 215,232 × 215,232
  4. Step 4: Simplify right side
    98,382x = 46,324,813,824
  5. Step 5: Solve for x
    x = 46,324,813,824/98,382
  6. Step 6: Final answer
    x = 470,866.76

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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.