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Finding the Third Proportional to 189,670.50 and 408,744

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Solution

The third proportional to 189,670.50 and 408,744 is: 880,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,670.50 : 408,744 = 408,744 : x
  2. Step 2: Convert to fraction form
    189,670.50/408,744 = 408,744/x
  3. Step 3: Cross multiply
    189,670.50x = 408,744 × 408,744
  4. Step 4: Simplify right side
    189,670.50x = 167,071,657,536
  5. Step 5: Solve for x
    x = 167,071,657,536/189,670.50
  6. Step 6: Final answer
    x = 880,852.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.