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Finding the Third Proportional to 189,712.13 and 419,593.50

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Solution

The third proportional to 189,712.13 and 419,593.50 is: 928,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,712.13 : 419,593.50 = 419,593.50 : x
  2. Step 2: Convert to fraction form
    189,712.13/419,593.50 = 419,593.50/x
  3. Step 3: Cross multiply
    189,712.13x = 419,593.50 × 419,593.50
  4. Step 4: Simplify right side
    189,712.13x = 176,058,705,242.25
  5. Step 5: Solve for x
    x = 176,058,705,242.25/189,712.13
  6. Step 6: Final answer
    x = 928,030.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.