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Finding the Third Proportional to 100,314 and 149,328

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Solution

The third proportional to 100,314 and 149,328 is: 222,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,314 : 149,328 = 149,328 : x
  2. Step 2: Convert to fraction form
    100,314/149,328 = 149,328/x
  3. Step 3: Cross multiply
    100,314x = 149,328 × 149,328
  4. Step 4: Simplify right side
    100,314x = 22,298,851,584
  5. Step 5: Solve for x
    x = 22,298,851,584/100,314
  6. Step 6: Final answer
    x = 222,290.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.