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Finding the Third Proportional to 114,477 and 168,285

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Solution

The third proportional to 114,477 and 168,285 is: 247,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,477 : 168,285 = 168,285 : x
  2. Step 2: Convert to fraction form
    114,477/168,285 = 168,285/x
  3. Step 3: Cross multiply
    114,477x = 168,285 × 168,285
  4. Step 4: Simplify right side
    114,477x = 28,319,841,225
  5. Step 5: Solve for x
    x = 28,319,841,225/114,477
  6. Step 6: Final answer
    x = 247,384.55

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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.