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Finding the Third Proportional to 146,138 and 318,754

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Solution

The third proportional to 146,138 and 318,754 is: 695,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,138 : 318,754 = 318,754 : x
  2. Step 2: Convert to fraction form
    146,138/318,754 = 318,754/x
  3. Step 3: Cross multiply
    146,138x = 318,754 × 318,754
  4. Step 4: Simplify right side
    146,138x = 101,604,112,516
  5. Step 5: Solve for x
    x = 101,604,112,516/146,138
  6. Step 6: Final answer
    x = 695,261.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.