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Finding the Third Proportional to 146,578.50 and 219,001.50

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Solution

The third proportional to 146,578.50 and 219,001.50 is: 327,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,578.50 : 219,001.50 = 219,001.50 : x
  2. Step 2: Convert to fraction form
    146,578.50/219,001.50 = 219,001.50/x
  3. Step 3: Cross multiply
    146,578.50x = 219,001.50 × 219,001.50
  4. Step 4: Simplify right side
    146,578.50x = 47,961,657,002.25
  5. Step 5: Solve for x
    x = 47,961,657,002.25/146,578.50
  6. Step 6: Final answer
    x = 327,207.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.