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Finding the Third Proportional to 134,538 and 283,014

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Solution

The third proportional to 134,538 and 283,014 is: 595,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,538 : 283,014 = 283,014 : x
  2. Step 2: Convert to fraction form
    134,538/283,014 = 283,014/x
  3. Step 3: Cross multiply
    134,538x = 283,014 × 283,014
  4. Step 4: Simplify right side
    134,538x = 80,096,924,196
  5. Step 5: Solve for x
    x = 80,096,924,196/134,538
  6. Step 6: Final answer
    x = 595,347.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.