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Finding the Third Proportional to 80,253 and 169,459.50

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Solution

The third proportional to 80,253 and 169,459.50 is: 357,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,253 : 169,459.50 = 169,459.50 : x
  2. Step 2: Convert to fraction form
    80,253/169,459.50 = 169,459.50/x
  3. Step 3: Cross multiply
    80,253x = 169,459.50 × 169,459.50
  4. Step 4: Simplify right side
    80,253x = 28,716,522,140.25
  5. Step 5: Solve for x
    x = 28,716,522,140.25/80,253
  6. Step 6: Final answer
    x = 357,824.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.