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Finding the Third Proportional to 220,066.50 and 343,249.50

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Solution

The third proportional to 220,066.50 and 343,249.50 is: 535,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,066.50 : 343,249.50 = 343,249.50 : x
  2. Step 2: Convert to fraction form
    220,066.50/343,249.50 = 343,249.50/x
  3. Step 3: Cross multiply
    220,066.50x = 343,249.50 × 343,249.50
  4. Step 4: Simplify right side
    220,066.50x = 117,820,219,250.25
  5. Step 5: Solve for x
    x = 117,820,219,250.25/220,066.50
  6. Step 6: Final answer
    x = 535,384.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.