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Finding the Third Proportional to 114,471 and 168,283

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Solution

The third proportional to 114,471 and 168,283 is: 247,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,471 : 168,283 = 168,283 : x
  2. Step 2: Convert to fraction form
    114,471/168,283 = 168,283/x
  3. Step 3: Cross multiply
    114,471x = 168,283 × 168,283
  4. Step 4: Simplify right side
    114,471x = 28,319,168,089
  5. Step 5: Solve for x
    x = 28,319,168,089/114,471
  6. Step 6: Final answer
    x = 247,391.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.