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Finding the Third Proportional to 200,243.25 and 437,412.38

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Solution

The third proportional to 200,243.25 and 437,412.38 is: 955,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,243.25 : 437,412.38 = 437,412.38 : x
  2. Step 2: Convert to fraction form
    200,243.25/437,412.38 = 437,412.38/x
  3. Step 3: Cross multiply
    200,243.25x = 437,412.38 × 437,412.38
  4. Step 4: Simplify right side
    200,243.25x = 191,329,585,803.14
  5. Step 5: Solve for x
    x = 191,329,585,803.14/200,243.25
  6. Step 6: Final answer
    x = 955,485.82

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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.