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Finding the Third Proportional to 189,126 and 252,360

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Solution

The third proportional to 189,126 and 252,360 is: 336,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,126 : 252,360 = 252,360 : x
  2. Step 2: Convert to fraction form
    189,126/252,360 = 252,360/x
  3. Step 3: Cross multiply
    189,126x = 252,360 × 252,360
  4. Step 4: Simplify right side
    189,126x = 63,685,569,600
  5. Step 5: Solve for x
    x = 63,685,569,600/189,126
  6. Step 6: Final answer
    x = 336,736.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.