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Finding the Third Proportional to 200,802.50 and 422,313.50

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Solution

The third proportional to 200,802.50 and 422,313.50 is: 888,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,802.50 : 422,313.50 = 422,313.50 : x
  2. Step 2: Convert to fraction form
    200,802.50/422,313.50 = 422,313.50/x
  3. Step 3: Cross multiply
    200,802.50x = 422,313.50 × 422,313.50
  4. Step 4: Simplify right side
    200,802.50x = 178,348,692,282.25
  5. Step 5: Solve for x
    x = 178,348,692,282.25/200,802.50
  6. Step 6: Final answer
    x = 888,179.64

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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.