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Finding the Third Proportional to 174,320 and 278,544

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Solution

The third proportional to 174,320 and 278,544 is: 445,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,320 : 278,544 = 278,544 : x
  2. Step 2: Convert to fraction form
    174,320/278,544 = 278,544/x
  3. Step 3: Cross multiply
    174,320x = 278,544 × 278,544
  4. Step 4: Simplify right side
    174,320x = 77,586,759,936
  5. Step 5: Solve for x
    x = 77,586,759,936/174,320
  6. Step 6: Final answer
    x = 445,082.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.