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Finding the Third Proportional to 146,103.75 and 219,159.42

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Solution

The third proportional to 146,103.75 and 219,159.42 is: 328,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,103.75 : 219,159.42 = 219,159.42 : x
  2. Step 2: Convert to fraction form
    146,103.75/219,159.42 = 219,159.42/x
  3. Step 3: Cross multiply
    146,103.75x = 219,159.42 × 219,159.42
  4. Step 4: Simplify right side
    146,103.75x = 48,030,852,196.58
  5. Step 5: Solve for x
    x = 48,030,852,196.58/146,103.75
  6. Step 6: Final answer
    x = 328,744.83

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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.