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Finding the Third Proportional to 150,715.50 and 325,092

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Solution

The third proportional to 150,715.50 and 325,092 is: 701,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,715.50 : 325,092 = 325,092 : x
  2. Step 2: Convert to fraction form
    150,715.50/325,092 = 325,092/x
  3. Step 3: Cross multiply
    150,715.50x = 325,092 × 325,092
  4. Step 4: Simplify right side
    150,715.50x = 105,684,808,464
  5. Step 5: Solve for x
    x = 105,684,808,464/150,715.50
  6. Step 6: Final answer
    x = 701,220.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.