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Finding the Third Proportional to 158,311 and 323,081.50

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Solution

The third proportional to 158,311 and 323,081.50 is: 659,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,311 : 323,081.50 = 323,081.50 : x
  2. Step 2: Convert to fraction form
    158,311/323,081.50 = 323,081.50/x
  3. Step 3: Cross multiply
    158,311x = 323,081.50 × 323,081.50
  4. Step 4: Simplify right side
    158,311x = 104,381,655,642.25
  5. Step 5: Solve for x
    x = 104,381,655,642.25/158,311
  6. Step 6: Final answer
    x = 659,345.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.