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Finding the Third Proportional to 146,959.31 and 219,867.75

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Solution

The third proportional to 146,959.31 and 219,867.75 is: 328,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,959.31 : 219,867.75 = 219,867.75 : x
  2. Step 2: Convert to fraction form
    146,959.31/219,867.75 = 219,867.75/x
  3. Step 3: Cross multiply
    146,959.31x = 219,867.75 × 219,867.75
  4. Step 4: Simplify right side
    146,959.31x = 48,341,827,490.06
  5. Step 5: Solve for x
    x = 48,341,827,490.06/146,959.31
  6. Step 6: Final answer
    x = 328,947.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.