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Finding the Third Proportional to 146,497.50 and 219,705.75

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Solution

The third proportional to 146,497.50 and 219,705.75 is: 329,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,497.50 : 219,705.75 = 219,705.75 : x
  2. Step 2: Convert to fraction form
    146,497.50/219,705.75 = 219,705.75/x
  3. Step 3: Cross multiply
    146,497.50x = 219,705.75 × 219,705.75
  4. Step 4: Simplify right side
    146,497.50x = 48,270,616,583.06
  5. Step 5: Solve for x
    x = 48,270,616,583.06/146,497.50
  6. Step 6: Final answer
    x = 329,497.89

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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.