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Finding the Third Proportional to 110,700 and 229,275

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Solution

The third proportional to 110,700 and 229,275 is: 474,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,700 : 229,275 = 229,275 : x
  2. Step 2: Convert to fraction form
    110,700/229,275 = 229,275/x
  3. Step 3: Cross multiply
    110,700x = 229,275 × 229,275
  4. Step 4: Simplify right side
    110,700x = 52,567,025,625
  5. Step 5: Solve for x
    x = 52,567,025,625/110,700
  6. Step 6: Final answer
    x = 474,860.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.