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Finding the Third Proportional to 200,967.75 and 311,038.25

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Solution

The third proportional to 200,967.75 and 311,038.25 is: 481,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,967.75 : 311,038.25 = 311,038.25 : x
  2. Step 2: Convert to fraction form
    200,967.75/311,038.25 = 311,038.25/x
  3. Step 3: Cross multiply
    200,967.75x = 311,038.25 × 311,038.25
  4. Step 4: Simplify right side
    200,967.75x = 96,744,792,963.06
  5. Step 5: Solve for x
    x = 96,744,792,963.06/200,967.75
  6. Step 6: Final answer
    x = 481,394.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.