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Finding the Third Proportional to 133,374 and 274,539.75

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Solution

The third proportional to 133,374 and 274,539.75 is: 565,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,374 : 274,539.75 = 274,539.75 : x
  2. Step 2: Convert to fraction form
    133,374/274,539.75 = 274,539.75/x
  3. Step 3: Cross multiply
    133,374x = 274,539.75 × 274,539.75
  4. Step 4: Simplify right side
    133,374x = 75,372,074,330.06
  5. Step 5: Solve for x
    x = 75,372,074,330.06/133,374
  6. Step 6: Final answer
    x = 565,118.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.