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Finding the Third Proportional to 145,782.50 and 238,049.75

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Solution

The third proportional to 145,782.50 and 238,049.75 is: 388,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,782.50 : 238,049.75 = 238,049.75 : x
  2. Step 2: Convert to fraction form
    145,782.50/238,049.75 = 238,049.75/x
  3. Step 3: Cross multiply
    145,782.50x = 238,049.75 × 238,049.75
  4. Step 4: Simplify right side
    145,782.50x = 56,667,683,475.06
  5. Step 5: Solve for x
    x = 56,667,683,475.06/145,782.50
  6. Step 6: Final answer
    x = 388,713.90

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.