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Finding the Third Proportional to 150,018.75 and 354,134.25

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Solution

The third proportional to 150,018.75 and 354,134.25 is: 835,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,018.75 : 354,134.25 = 354,134.25 : x
  2. Step 2: Convert to fraction form
    150,018.75/354,134.25 = 354,134.25/x
  3. Step 3: Cross multiply
    150,018.75x = 354,134.25 × 354,134.25
  4. Step 4: Simplify right side
    150,018.75x = 125,411,067,023.06
  5. Step 5: Solve for x
    x = 125,411,067,023.06/150,018.75
  6. Step 6: Final answer
    x = 835,969.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.