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Finding the Third Proportional to 145,611.75 and 311,463.75

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Solution

The third proportional to 145,611.75 and 311,463.75 is: 666,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611.75 : 311,463.75 = 311,463.75 : x
  2. Step 2: Convert to fraction form
    145,611.75/311,463.75 = 311,463.75/x
  3. Step 3: Cross multiply
    145,611.75x = 311,463.75 × 311,463.75
  4. Step 4: Simplify right side
    145,611.75x = 97,009,667,564.06
  5. Step 5: Solve for x
    x = 97,009,667,564.06/145,611.75
  6. Step 6: Final answer
    x = 666,221.42

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