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Finding the Third Proportional to 200,468.25 and 432,276.75

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Solution

The third proportional to 200,468.25 and 432,276.75 is: 932,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,468.25 : 432,276.75 = 432,276.75 : x
  2. Step 2: Convert to fraction form
    200,468.25/432,276.75 = 432,276.75/x
  3. Step 3: Cross multiply
    200,468.25x = 432,276.75 × 432,276.75
  4. Step 4: Simplify right side
    200,468.25x = 186,863,188,590.56
  5. Step 5: Solve for x
    x = 186,863,188,590.56/200,468.25
  6. Step 6: Final answer
    x = 932,133.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.