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Finding the Third Proportional to 86,275.50 and 184,545.50

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Solution

The third proportional to 86,275.50 and 184,545.50 is: 394,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,275.50 : 184,545.50 = 184,545.50 : x
  2. Step 2: Convert to fraction form
    86,275.50/184,545.50 = 184,545.50/x
  3. Step 3: Cross multiply
    86,275.50x = 184,545.50 × 184,545.50
  4. Step 4: Simplify right side
    86,275.50x = 34,057,041,570.25
  5. Step 5: Solve for x
    x = 34,057,041,570.25/86,275.50
  6. Step 6: Final answer
    x = 394,747.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.