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Finding the Third Proportional to 181,366 and 254,947

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Solution

The third proportional to 181,366 and 254,947 is: 358,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,366 : 254,947 = 254,947 : x
  2. Step 2: Convert to fraction form
    181,366/254,947 = 254,947/x
  3. Step 3: Cross multiply
    181,366x = 254,947 × 254,947
  4. Step 4: Simplify right side
    181,366x = 64,997,972,809
  5. Step 5: Solve for x
    x = 64,997,972,809/181,366
  6. Step 6: Final answer
    x = 358,380.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.