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Finding the Third Proportional to 86,249.50 and 201,463.50

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Solution

The third proportional to 86,249.50 and 201,463.50 is: 470,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,249.50 : 201,463.50 = 201,463.50 : x
  2. Step 2: Convert to fraction form
    86,249.50/201,463.50 = 201,463.50/x
  3. Step 3: Cross multiply
    86,249.50x = 201,463.50 × 201,463.50
  4. Step 4: Simplify right side
    86,249.50x = 40,587,541,832.25
  5. Step 5: Solve for x
    x = 40,587,541,832.25/86,249.50
  6. Step 6: Final answer
    x = 470,582.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.