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Finding the Third Proportional to 192,125 and 286,627

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Solution

The third proportional to 192,125 and 286,627 is: 427,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,125 : 286,627 = 286,627 : x
  2. Step 2: Convert to fraction form
    192,125/286,627 = 286,627/x
  3. Step 3: Cross multiply
    192,125x = 286,627 × 286,627
  4. Step 4: Simplify right side
    192,125x = 82,155,037,129
  5. Step 5: Solve for x
    x = 82,155,037,129/192,125
  6. Step 6: Final answer
    x = 427,612.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.