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Finding the Third Proportional to 145,020.38 and 311,462.72

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Solution

The third proportional to 145,020.38 and 311,462.72 is: 668,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,020.38 : 311,462.72 = 311,462.72 : x
  2. Step 2: Convert to fraction form
    145,020.38/311,462.72 = 311,462.72/x
  3. Step 3: Cross multiply
    145,020.38x = 311,462.72 × 311,462.72
  4. Step 4: Simplify right side
    145,020.38x = 97,009,025,171.14
  5. Step 5: Solve for x
    x = 97,009,025,171.14/145,020.38
  6. Step 6: Final answer
    x = 668,933.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.