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Finding the Third Proportional to 98,356 and 213,364

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Solution

The third proportional to 98,356 and 213,364 is: 462,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,356 : 213,364 = 213,364 : x
  2. Step 2: Convert to fraction form
    98,356/213,364 = 213,364/x
  3. Step 3: Cross multiply
    98,356x = 213,364 × 213,364
  4. Step 4: Simplify right side
    98,356x = 45,524,196,496
  5. Step 5: Solve for x
    x = 45,524,196,496/98,356
  6. Step 6: Final answer
    x = 462,851.24

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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.