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Finding the Third Proportional to 114,522 and 178,327

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Solution

The third proportional to 114,522 and 178,327 is: 277,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,522 : 178,327 = 178,327 : x
  2. Step 2: Convert to fraction form
    114,522/178,327 = 178,327/x
  3. Step 3: Cross multiply
    114,522x = 178,327 × 178,327
  4. Step 4: Simplify right side
    114,522x = 31,800,518,929
  5. Step 5: Solve for x
    x = 31,800,518,929/114,522
  6. Step 6: Final answer
    x = 277,680.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.