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Finding the Third Proportional to 114,266 and 175,287

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Solution

The third proportional to 114,266 and 175,287 is: 268,894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,266 : 175,287 = 175,287 : x
  2. Step 2: Convert to fraction form
    114,266/175,287 = 175,287/x
  3. Step 3: Cross multiply
    114,266x = 175,287 × 175,287
  4. Step 4: Simplify right side
    114,266x = 30,725,532,369
  5. Step 5: Solve for x
    x = 30,725,532,369/114,266
  6. Step 6: Final answer
    x = 268,894.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.