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Finding the Third Proportional to 122,034.94 and 262,802.81

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Solution

The third proportional to 122,034.94 and 262,802.81 is: 565,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,034.94 : 262,802.81 = 262,802.81 : x
  2. Step 2: Convert to fraction form
    122,034.94/262,802.81 = 262,802.81/x
  3. Step 3: Cross multiply
    122,034.94x = 262,802.81 × 262,802.81
  4. Step 4: Simplify right side
    122,034.94x = 69,065,318,257.91
  5. Step 5: Solve for x
    x = 69,065,318,257.91/122,034.94
  6. Step 6: Final answer
    x = 565,947.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.