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Finding the Third Proportional to 73,349 and 160,188.50

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Solution

The third proportional to 73,349 and 160,188.50 is: 349,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,349 : 160,188.50 = 160,188.50 : x
  2. Step 2: Convert to fraction form
    73,349/160,188.50 = 160,188.50/x
  3. Step 3: Cross multiply
    73,349x = 160,188.50 × 160,188.50
  4. Step 4: Simplify right side
    73,349x = 25,660,355,532.25
  5. Step 5: Solve for x
    x = 25,660,355,532.25/73,349
  6. Step 6: Final answer
    x = 349,839.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.