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Finding the Third Proportional to 98,344 and 213,340

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Solution

The third proportional to 98,344 and 213,340 is: 462,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,344 : 213,340 = 213,340 : x
  2. Step 2: Convert to fraction form
    98,344/213,340 = 213,340/x
  3. Step 3: Cross multiply
    98,344x = 213,340 × 213,340
  4. Step 4: Simplify right side
    98,344x = 45,513,955,600
  5. Step 5: Solve for x
    x = 45,513,955,600/98,344
  6. Step 6: Final answer
    x = 462,803.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.