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Finding the Third Proportional to 110,697 and 229,270.50

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Solution

The third proportional to 110,697 and 229,270.50 is: 474,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,697 : 229,270.50 = 229,270.50 : x
  2. Step 2: Convert to fraction form
    110,697/229,270.50 = 229,270.50/x
  3. Step 3: Cross multiply
    110,697x = 229,270.50 × 229,270.50
  4. Step 4: Simplify right side
    110,697x = 52,564,962,170.25
  5. Step 5: Solve for x
    x = 52,564,962,170.25/110,697
  6. Step 6: Final answer
    x = 474,854.44

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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.