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Finding the Third Proportional to 200,119 and 437,173

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Solution

The third proportional to 200,119 and 437,173 is: 955,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,119 : 437,173 = 437,173 : x
  2. Step 2: Convert to fraction form
    200,119/437,173 = 437,173/x
  3. Step 3: Cross multiply
    200,119x = 437,173 × 437,173
  4. Step 4: Simplify right side
    200,119x = 191,120,231,929
  5. Step 5: Solve for x
    x = 191,120,231,929/200,119
  6. Step 6: Final answer
    x = 955,032.92

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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.