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Finding the Third Proportional to 184,019.34 and 269,954.02

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Solution

The third proportional to 184,019.34 and 269,954.02 is: 396,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,019.34 : 269,954.02 = 269,954.02 : x
  2. Step 2: Convert to fraction form
    184,019.34/269,954.02 = 269,954.02/x
  3. Step 3: Cross multiply
    184,019.34x = 269,954.02 × 269,954.02
  4. Step 4: Simplify right side
    184,019.34x = 72,875,170,552.06
  5. Step 5: Solve for x
    x = 72,875,170,552.06/184,019.34
  6. Step 6: Final answer
    x = 396,019.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.