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Finding the Third Proportional to 142,201.97 and 304,086.94

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Solution

The third proportional to 142,201.97 and 304,086.94 is: 650,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,201.97 : 304,086.94 = 304,086.94 : x
  2. Step 2: Convert to fraction form
    142,201.97/304,086.94 = 304,086.94/x
  3. Step 3: Cross multiply
    142,201.97x = 304,086.94 × 304,086.94
  4. Step 4: Simplify right side
    142,201.97x = 92,468,865,558.13
  5. Step 5: Solve for x
    x = 92,468,865,558.13/142,201.97
  6. Step 6: Final answer
    x = 650,264.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.