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Finding the Third Proportional to 200,119.50 and 437,175

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Solution

The third proportional to 200,119.50 and 437,175 is: 955,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,119.50 : 437,175 = 437,175 : x
  2. Step 2: Convert to fraction form
    200,119.50/437,175 = 437,175/x
  3. Step 3: Cross multiply
    200,119.50x = 437,175 × 437,175
  4. Step 4: Simplify right side
    200,119.50x = 191,121,980,625
  5. Step 5: Solve for x
    x = 191,121,980,625/200,119.50
  6. Step 6: Final answer
    x = 955,039.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.