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Finding the Third Proportional to 143,087.50 and 310,758.50

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Solution

The third proportional to 143,087.50 and 310,758.50 is: 674,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,087.50 : 310,758.50 = 310,758.50 : x
  2. Step 2: Convert to fraction form
    143,087.50/310,758.50 = 310,758.50/x
  3. Step 3: Cross multiply
    143,087.50x = 310,758.50 × 310,758.50
  4. Step 4: Simplify right side
    143,087.50x = 96,570,845,322.25
  5. Step 5: Solve for x
    x = 96,570,845,322.25/143,087.50
  6. Step 6: Final answer
    x = 674,907.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.