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Finding the Third Proportional to 149,632 and 226,001

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Solution

The third proportional to 149,632 and 226,001 is: 341,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,632 : 226,001 = 226,001 : x
  2. Step 2: Convert to fraction form
    149,632/226,001 = 226,001/x
  3. Step 3: Cross multiply
    149,632x = 226,001 × 226,001
  4. Step 4: Simplify right side
    149,632x = 51,076,452,001
  5. Step 5: Solve for x
    x = 51,076,452,001/149,632
  6. Step 6: Final answer
    x = 341,347.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.