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Finding the Third Proportional to 146,248 and 318,800

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Solution

The third proportional to 146,248 and 318,800 is: 694,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,248 : 318,800 = 318,800 : x
  2. Step 2: Convert to fraction form
    146,248/318,800 = 318,800/x
  3. Step 3: Cross multiply
    146,248x = 318,800 × 318,800
  4. Step 4: Simplify right side
    146,248x = 101,633,440,000
  5. Step 5: Solve for x
    x = 101,633,440,000/146,248
  6. Step 6: Final answer
    x = 694,939.01

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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.