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Finding the Third Proportional to 149,908 and 230,650

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Solution

The third proportional to 149,908 and 230,650 is: 354,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,908 : 230,650 = 230,650 : x
  2. Step 2: Convert to fraction form
    149,908/230,650 = 230,650/x
  3. Step 3: Cross multiply
    149,908x = 230,650 × 230,650
  4. Step 4: Simplify right side
    149,908x = 53,199,422,500
  5. Step 5: Solve for x
    x = 53,199,422,500/149,908
  6. Step 6: Final answer
    x = 354,880.48

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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.