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Finding the Third Proportional to 110,730.75 and 259,957.88

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Solution

The third proportional to 110,730.75 and 259,957.88 is: 610,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,730.75 : 259,957.88 = 259,957.88 : x
  2. Step 2: Convert to fraction form
    110,730.75/259,957.88 = 259,957.88/x
  3. Step 3: Cross multiply
    110,730.75x = 259,957.88 × 259,957.88
  4. Step 4: Simplify right side
    110,730.75x = 67,578,096,774.52
  5. Step 5: Solve for x
    x = 67,578,096,774.52/110,730.75
  6. Step 6: Final answer
    x = 610,292.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.