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Finding the Third Proportional to 133,270 and 286,302

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Solution

The third proportional to 133,270 and 286,302 is: 615,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,270 : 286,302 = 286,302 : x
  2. Step 2: Convert to fraction form
    133,270/286,302 = 286,302/x
  3. Step 3: Cross multiply
    133,270x = 286,302 × 286,302
  4. Step 4: Simplify right side
    133,270x = 81,968,835,204
  5. Step 5: Solve for x
    x = 81,968,835,204/133,270
  6. Step 6: Final answer
    x = 615,058.42

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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.