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Finding the Third Proportional to 144,817.50 and 303,486

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Solution

The third proportional to 144,817.50 and 303,486 is: 635,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,817.50 : 303,486 = 303,486 : x
  2. Step 2: Convert to fraction form
    144,817.50/303,486 = 303,486/x
  3. Step 3: Cross multiply
    144,817.50x = 303,486 × 303,486
  4. Step 4: Simplify right side
    144,817.50x = 92,103,752,196
  5. Step 5: Solve for x
    x = 92,103,752,196/144,817.50
  6. Step 6: Final answer
    x = 635,998.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.