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Finding the Third Proportional to 101,318 and 234,552

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Solution

The third proportional to 101,318 and 234,552 is: 542,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,318 : 234,552 = 234,552 : x
  2. Step 2: Convert to fraction form
    101,318/234,552 = 234,552/x
  3. Step 3: Cross multiply
    101,318x = 234,552 × 234,552
  4. Step 4: Simplify right side
    101,318x = 55,014,640,704
  5. Step 5: Solve for x
    x = 55,014,640,704/101,318
  6. Step 6: Final answer
    x = 542,989.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.