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Finding the Third Proportional to 189,693 and 396,922.50

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Solution

The third proportional to 189,693 and 396,922.50 is: 830,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,693 : 396,922.50 = 396,922.50 : x
  2. Step 2: Convert to fraction form
    189,693/396,922.50 = 396,922.50/x
  3. Step 3: Cross multiply
    189,693x = 396,922.50 × 396,922.50
  4. Step 4: Simplify right side
    189,693x = 157,547,471,006.25
  5. Step 5: Solve for x
    x = 157,547,471,006.25/189,693
  6. Step 6: Final answer
    x = 830,539.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.