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Finding the Third Proportional to 185,780.25 and 284,667.19

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Solution

The third proportional to 185,780.25 and 284,667.19 is: 436,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,780.25 : 284,667.19 = 284,667.19 : x
  2. Step 2: Convert to fraction form
    185,780.25/284,667.19 = 284,667.19/x
  3. Step 3: Cross multiply
    185,780.25x = 284,667.19 × 284,667.19
  4. Step 4: Simplify right side
    185,780.25x = 81,035,407,639.16
  5. Step 5: Solve for x
    x = 81,035,407,639.16/185,780.25
  6. Step 6: Final answer
    x = 436,189.57

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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.