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Finding the Third Proportional to 189,492 and 252,810

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Solution

The third proportional to 189,492 and 252,810 is: 337,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,492 : 252,810 = 252,810 : x
  2. Step 2: Convert to fraction form
    189,492/252,810 = 252,810/x
  3. Step 3: Cross multiply
    189,492x = 252,810 × 252,810
  4. Step 4: Simplify right side
    189,492x = 63,912,896,100
  5. Step 5: Solve for x
    x = 63,912,896,100/189,492
  6. Step 6: Final answer
    x = 337,285.46

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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.