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Finding the Third Proportional to 144,671.06 and 221,924.81

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Solution

The third proportional to 144,671.06 and 221,924.81 is: 340,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,671.06 : 221,924.81 = 221,924.81 : x
  2. Step 2: Convert to fraction form
    144,671.06/221,924.81 = 221,924.81/x
  3. Step 3: Cross multiply
    144,671.06x = 221,924.81 × 221,924.81
  4. Step 4: Simplify right side
    144,671.06x = 49,250,622,403.16
  5. Step 5: Solve for x
    x = 49,250,622,403.16/144,671.06
  6. Step 6: Final answer
    x = 340,431.75

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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.