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Finding the Third Proportional to 130,655.25 and 285,093

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Solution

The third proportional to 130,655.25 and 285,093 is: 622,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,655.25 : 285,093 = 285,093 : x
  2. Step 2: Convert to fraction form
    130,655.25/285,093 = 285,093/x
  3. Step 3: Cross multiply
    130,655.25x = 285,093 × 285,093
  4. Step 4: Simplify right side
    130,655.25x = 81,278,018,649
  5. Step 5: Solve for x
    x = 81,278,018,649/130,655.25
  6. Step 6: Final answer
    x = 622,080.01

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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.