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Finding the Third Proportional to 133,218 and 286,200

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Solution

The third proportional to 133,218 and 286,200 is: 614,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,218 : 286,200 = 286,200 : x
  2. Step 2: Convert to fraction form
    133,218/286,200 = 286,200/x
  3. Step 3: Cross multiply
    133,218x = 286,200 × 286,200
  4. Step 4: Simplify right side
    133,218x = 81,910,440,000
  5. Step 5: Solve for x
    x = 81,910,440,000/133,218
  6. Step 6: Final answer
    x = 614,860.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.