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Finding the Third Proportional to 134,497.50 and 283,971

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Solution

The third proportional to 134,497.50 and 283,971 is: 599,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,497.50 : 283,971 = 283,971 : x
  2. Step 2: Convert to fraction form
    134,497.50/283,971 = 283,971/x
  3. Step 3: Cross multiply
    134,497.50x = 283,971 × 283,971
  4. Step 4: Simplify right side
    134,497.50x = 80,639,528,841
  5. Step 5: Solve for x
    x = 80,639,528,841/134,497.50
  6. Step 6: Final answer
    x = 599,561.54

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Why These Related Problems?

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