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Finding the Third Proportional to 149,602 and 229,939

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Solution

The third proportional to 149,602 and 229,939 is: 353,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,602 : 229,939 = 229,939 : x
  2. Step 2: Convert to fraction form
    149,602/229,939 = 229,939/x
  3. Step 3: Cross multiply
    149,602x = 229,939 × 229,939
  4. Step 4: Simplify right side
    149,602x = 52,871,943,721
  5. Step 5: Solve for x
    x = 52,871,943,721/149,602
  6. Step 6: Final answer
    x = 353,417.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.