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Finding the Third Proportional to 146,952 and 219,858

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Solution

The third proportional to 146,952 and 219,858 is: 328,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,952 : 219,858 = 219,858 : x
  2. Step 2: Convert to fraction form
    146,952/219,858 = 219,858/x
  3. Step 3: Cross multiply
    146,952x = 219,858 × 219,858
  4. Step 4: Simplify right side
    146,952x = 48,337,540,164
  5. Step 5: Solve for x
    x = 48,337,540,164/146,952
  6. Step 6: Final answer
    x = 328,934.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.