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Finding the Third Proportional to 109,176 and 237,573

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Solution

The third proportional to 109,176 and 237,573 is: 516,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,176 : 237,573 = 237,573 : x
  2. Step 2: Convert to fraction form
    109,176/237,573 = 237,573/x
  3. Step 3: Cross multiply
    109,176x = 237,573 × 237,573
  4. Step 4: Simplify right side
    109,176x = 56,440,930,329
  5. Step 5: Solve for x
    x = 56,440,930,329/109,176
  6. Step 6: Final answer
    x = 516,971.96

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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.