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Finding the Third Proportional to 133,143 and 290,856

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Solution

The third proportional to 133,143 and 290,856 is: 635,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,143 : 290,856 = 290,856 : x
  2. Step 2: Convert to fraction form
    133,143/290,856 = 290,856/x
  3. Step 3: Cross multiply
    133,143x = 290,856 × 290,856
  4. Step 4: Simplify right side
    133,143x = 84,597,212,736
  5. Step 5: Solve for x
    x = 84,597,212,736/133,143
  6. Step 6: Final answer
    x = 635,386.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.