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Finding the Third Proportional to 200,802.75 and 422,314.50

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Solution

The third proportional to 200,802.75 and 422,314.50 is: 888,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,802.75 : 422,314.50 = 422,314.50 : x
  2. Step 2: Convert to fraction form
    200,802.75/422,314.50 = 422,314.50/x
  3. Step 3: Cross multiply
    200,802.75x = 422,314.50 × 422,314.50
  4. Step 4: Simplify right side
    200,802.75x = 178,349,536,910.25
  5. Step 5: Solve for x
    x = 178,349,536,910.25/200,802.75
  6. Step 6: Final answer
    x = 888,182.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.