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Finding the Third Proportional to 190,856.57 and 411,035.45

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Solution

The third proportional to 190,856.57 and 411,035.45 is: 885,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,856.57 : 411,035.45 = 411,035.45 : x
  2. Step 2: Convert to fraction form
    190,856.57/411,035.45 = 411,035.45/x
  3. Step 3: Cross multiply
    190,856.57x = 411,035.45 × 411,035.45
  4. Step 4: Simplify right side
    190,856.57x = 168,950,140,514.46
  5. Step 5: Solve for x
    x = 168,950,140,514.46/190,856.57
  6. Step 6: Final answer
    x = 885,220.48

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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.