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Finding the Third Proportional to 133,254 and 289,116

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Solution

The third proportional to 133,254 and 289,116 is: 627,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,254 : 289,116 = 289,116 : x
  2. Step 2: Convert to fraction form
    133,254/289,116 = 289,116/x
  3. Step 3: Cross multiply
    133,254x = 289,116 × 289,116
  4. Step 4: Simplify right side
    133,254x = 83,588,061,456
  5. Step 5: Solve for x
    x = 83,588,061,456/133,254
  6. Step 6: Final answer
    x = 627,283.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.