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Finding the Third Proportional to 110,857 and 243,175

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Solution

The third proportional to 110,857 and 243,175 is: 533,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,857 : 243,175 = 243,175 : x
  2. Step 2: Convert to fraction form
    110,857/243,175 = 243,175/x
  3. Step 3: Cross multiply
    110,857x = 243,175 × 243,175
  4. Step 4: Simplify right side
    110,857x = 59,134,080,625
  5. Step 5: Solve for x
    x = 59,134,080,625/110,857
  6. Step 6: Final answer
    x = 533,426.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.