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Finding the Third Proportional to 133,165 and 286,094

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Solution

The third proportional to 133,165 and 286,094 is: 614,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,165 : 286,094 = 286,094 : x
  2. Step 2: Convert to fraction form
    133,165/286,094 = 286,094/x
  3. Step 3: Cross multiply
    133,165x = 286,094 × 286,094
  4. Step 4: Simplify right side
    133,165x = 81,849,776,836
  5. Step 5: Solve for x
    x = 81,849,776,836/133,165
  6. Step 6: Final answer
    x = 614,649.32

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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.