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Finding the Third Proportional to 98,442 and 213,354

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Solution

The third proportional to 98,442 and 213,354 is: 462,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,442 : 213,354 = 213,354 : x
  2. Step 2: Convert to fraction form
    98,442/213,354 = 213,354/x
  3. Step 3: Cross multiply
    98,442x = 213,354 × 213,354
  4. Step 4: Simplify right side
    98,442x = 45,519,929,316
  5. Step 5: Solve for x
    x = 45,519,929,316/98,442
  6. Step 6: Final answer
    x = 462,403.54

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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.