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Finding the Third Proportional to 130,773.13 and 277,241.63

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Solution

The third proportional to 130,773.13 and 277,241.63 is: 587,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,773.13 : 277,241.63 = 277,241.63 : x
  2. Step 2: Convert to fraction form
    130,773.13/277,241.63 = 277,241.63/x
  3. Step 3: Cross multiply
    130,773.13x = 277,241.63 × 277,241.63
  4. Step 4: Simplify right side
    130,773.13x = 76,862,918,632.64
  5. Step 5: Solve for x
    x = 76,862,918,632.64/130,773.13
  6. Step 6: Final answer
    x = 587,757.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.