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Finding the Third Proportional to 149,807 and 318,082

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Solution

The third proportional to 149,807 and 318,082 is: 675,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,807 : 318,082 = 318,082 : x
  2. Step 2: Convert to fraction form
    149,807/318,082 = 318,082/x
  3. Step 3: Cross multiply
    149,807x = 318,082 × 318,082
  4. Step 4: Simplify right side
    149,807x = 101,176,158,724
  5. Step 5: Solve for x
    x = 101,176,158,724/149,807
  6. Step 6: Final answer
    x = 675,376.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.