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Finding the Third Proportional to 143,893.97 and 201,276.14

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Solution

The third proportional to 143,893.97 and 201,276.14 is: 281,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,893.97 : 201,276.14 = 201,276.14 : x
  2. Step 2: Convert to fraction form
    143,893.97/201,276.14 = 201,276.14/x
  3. Step 3: Cross multiply
    143,893.97x = 201,276.14 × 201,276.14
  4. Step 4: Simplify right side
    143,893.97x = 40,512,084,784.89
  5. Step 5: Solve for x
    x = 40,512,084,784.89/143,893.97
  6. Step 6: Final answer
    x = 281,541.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.