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Finding the Third Proportional to 191,390.25 and 412,027.50

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Solution

The third proportional to 191,390.25 and 412,027.50 is: 887,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,390.25 : 412,027.50 = 412,027.50 : x
  2. Step 2: Convert to fraction form
    191,390.25/412,027.50 = 412,027.50/x
  3. Step 3: Cross multiply
    191,390.25x = 412,027.50 × 412,027.50
  4. Step 4: Simplify right side
    191,390.25x = 169,766,660,756.25
  5. Step 5: Solve for x
    x = 169,766,660,756.25/191,390.25
  6. Step 6: Final answer
    x = 887,018.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.