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Finding the Third Proportional to 122,341.50 and 181,238.25

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Solution

The third proportional to 122,341.50 and 181,238.25 is: 268,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,341.50 : 181,238.25 = 181,238.25 : x
  2. Step 2: Convert to fraction form
    122,341.50/181,238.25 = 181,238.25/x
  3. Step 3: Cross multiply
    122,341.50x = 181,238.25 × 181,238.25
  4. Step 4: Simplify right side
    122,341.50x = 32,847,303,263.06
  5. Step 5: Solve for x
    x = 32,847,303,263.06/122,341.50
  6. Step 6: Final answer
    x = 268,488.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.