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Finding the Third Proportional to 109,273 and 237,774

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Solution

The third proportional to 109,273 and 237,774 is: 517,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,273 : 237,774 = 237,774 : x
  2. Step 2: Convert to fraction form
    109,273/237,774 = 237,774/x
  3. Step 3: Cross multiply
    109,273x = 237,774 × 237,774
  4. Step 4: Simplify right side
    109,273x = 56,536,475,076
  5. Step 5: Solve for x
    x = 56,536,475,076/109,273
  6. Step 6: Final answer
    x = 517,387.42

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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.