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Finding the Third Proportional to 150,858.75 and 207,809.25

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Solution

The third proportional to 150,858.75 and 207,809.25 is: 286,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,858.75 : 207,809.25 = 207,809.25 : x
  2. Step 2: Convert to fraction form
    150,858.75/207,809.25 = 207,809.25/x
  3. Step 3: Cross multiply
    150,858.75x = 207,809.25 × 207,809.25
  4. Step 4: Simplify right side
    150,858.75x = 43,184,684,385.56
  5. Step 5: Solve for x
    x = 43,184,684,385.56/150,858.75
  6. Step 6: Final answer
    x = 286,259.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.