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Finding the Third Proportional to 200,721.25 and 272,467.75

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Solution

The third proportional to 200,721.25 and 272,467.75 is: 369,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,721.25 : 272,467.75 = 272,467.75 : x
  2. Step 2: Convert to fraction form
    200,721.25/272,467.75 = 272,467.75/x
  3. Step 3: Cross multiply
    200,721.25x = 272,467.75 × 272,467.75
  4. Step 4: Simplify right side
    200,721.25x = 74,238,674,790.06
  5. Step 5: Solve for x
    x = 74,238,674,790.06/200,721.25
  6. Step 6: Final answer
    x = 369,859.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.