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Finding the Third Proportional to 144,349.50 and 207,928.50

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Solution

The third proportional to 144,349.50 and 207,928.50 is: 299,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,349.50 : 207,928.50 = 207,928.50 : x
  2. Step 2: Convert to fraction form
    144,349.50/207,928.50 = 207,928.50/x
  3. Step 3: Cross multiply
    144,349.50x = 207,928.50 × 207,928.50
  4. Step 4: Simplify right side
    144,349.50x = 43,234,261,112.25
  5. Step 5: Solve for x
    x = 43,234,261,112.25/144,349.50
  6. Step 6: Final answer
    x = 299,510.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.