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Finding the Third Proportional to 130,089 and 283,754.25

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Solution

The third proportional to 130,089 and 283,754.25 is: 618,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,089 : 283,754.25 = 283,754.25 : x
  2. Step 2: Convert to fraction form
    130,089/283,754.25 = 283,754.25/x
  3. Step 3: Cross multiply
    130,089x = 283,754.25 × 283,754.25
  4. Step 4: Simplify right side
    130,089x = 80,516,474,393.06
  5. Step 5: Solve for x
    x = 80,516,474,393.06/130,089
  6. Step 6: Final answer
    x = 618,933.76

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Why These Related Problems?

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