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Finding the Third Proportional to 149,306 and 226,328

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Solution

The third proportional to 149,306 and 226,328 is: 343,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,306 : 226,328 = 226,328 : x
  2. Step 2: Convert to fraction form
    149,306/226,328 = 226,328/x
  3. Step 3: Cross multiply
    149,306x = 226,328 × 226,328
  4. Step 4: Simplify right side
    149,306x = 51,224,363,584
  5. Step 5: Solve for x
    x = 51,224,363,584/149,306
  6. Step 6: Final answer
    x = 343,083.09

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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.