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Finding the Third Proportional to 134,536.13 and 283,013.25

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Solution

The third proportional to 134,536.13 and 283,013.25 is: 595,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,536.13 : 283,013.25 = 283,013.25 : x
  2. Step 2: Convert to fraction form
    134,536.13/283,013.25 = 283,013.25/x
  3. Step 3: Cross multiply
    134,536.13x = 283,013.25 × 283,013.25
  4. Step 4: Simplify right side
    134,536.13x = 80,096,499,675.56
  5. Step 5: Solve for x
    x = 80,096,499,675.56/134,536.13
  6. Step 6: Final answer
    x = 595,353.10

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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.