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Finding the Third Proportional to 184,539.94 and 266,694.19

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Solution

The third proportional to 184,539.94 and 266,694.19 is: 385,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,539.94 : 266,694.19 = 266,694.19 : x
  2. Step 2: Convert to fraction form
    184,539.94/266,694.19 = 266,694.19/x
  3. Step 3: Cross multiply
    184,539.94x = 266,694.19 × 266,694.19
  4. Step 4: Simplify right side
    184,539.94x = 71,125,789,646.29
  5. Step 5: Solve for x
    x = 71,125,789,646.29/184,539.94
  6. Step 6: Final answer
    x = 385,422.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.