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Finding the Third Proportional to 144,623.25 and 221,856.75

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Solution

The third proportional to 144,623.25 and 221,856.75 is: 340,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,623.25 : 221,856.75 = 221,856.75 : x
  2. Step 2: Convert to fraction form
    144,623.25/221,856.75 = 221,856.75/x
  3. Step 3: Cross multiply
    144,623.25x = 221,856.75 × 221,856.75
  4. Step 4: Simplify right side
    144,623.25x = 49,220,417,520.56
  5. Step 5: Solve for x
    x = 49,220,417,520.56/144,623.25
  6. Step 6: Final answer
    x = 340,335.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.