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Finding the Third Proportional to 98,678 and 150,473

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Solution

The third proportional to 98,678 and 150,473 is: 229,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,678 : 150,473 = 150,473 : x
  2. Step 2: Convert to fraction form
    98,678/150,473 = 150,473/x
  3. Step 3: Cross multiply
    98,678x = 150,473 × 150,473
  4. Step 4: Simplify right side
    98,678x = 22,642,123,729
  5. Step 5: Solve for x
    x = 22,642,123,729/98,678
  6. Step 6: Final answer
    x = 229,454.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.