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Finding the Third Proportional to 147,037 and 318,961

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Solution

The third proportional to 147,037 and 318,961 is: 691,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,037 : 318,961 = 318,961 : x
  2. Step 2: Convert to fraction form
    147,037/318,961 = 318,961/x
  3. Step 3: Cross multiply
    147,037x = 318,961 × 318,961
  4. Step 4: Simplify right side
    147,037x = 101,736,119,521
  5. Step 5: Solve for x
    x = 101,736,119,521/147,037
  6. Step 6: Final answer
    x = 691,908.29

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Why These Related Problems?

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