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Finding the Third Proportional to 133,962 and 286,348

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Solution

The third proportional to 133,962 and 286,348 is: 612,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,962 : 286,348 = 286,348 : x
  2. Step 2: Convert to fraction form
    133,962/286,348 = 286,348/x
  3. Step 3: Cross multiply
    133,962x = 286,348 × 286,348
  4. Step 4: Simplify right side
    133,962x = 81,995,177,104
  5. Step 5: Solve for x
    x = 81,995,177,104/133,962
  6. Step 6: Final answer
    x = 612,077.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.