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Finding the Third Proportional to 146,103.50 and 218,567

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Solution

The third proportional to 146,103.50 and 218,567 is: 326,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,103.50 : 218,567 = 218,567 : x
  2. Step 2: Convert to fraction form
    146,103.50/218,567 = 218,567/x
  3. Step 3: Cross multiply
    146,103.50x = 218,567 × 218,567
  4. Step 4: Simplify right side
    146,103.50x = 47,771,533,489
  5. Step 5: Solve for x
    x = 47,771,533,489/146,103.50
  6. Step 6: Final answer
    x = 326,970.49

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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.