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Finding the Third Proportional to 150,715.69 and 207,615.66

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Solution

The third proportional to 150,715.69 and 207,615.66 is: 285,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,715.69 : 207,615.66 = 207,615.66 : x
  2. Step 2: Convert to fraction form
    150,715.69/207,615.66 = 207,615.66/x
  3. Step 3: Cross multiply
    150,715.69x = 207,615.66 × 207,615.66
  4. Step 4: Simplify right side
    150,715.69x = 43,104,260,720.12
  5. Step 5: Solve for x
    x = 43,104,260,720.12/150,715.69
  6. Step 6: Final answer
    x = 285,997.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.