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Finding the Third Proportional to 174,448 and 276,680

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Solution

The third proportional to 174,448 and 276,680 is: 438,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,448 : 276,680 = 276,680 : x
  2. Step 2: Convert to fraction form
    174,448/276,680 = 276,680/x
  3. Step 3: Cross multiply
    174,448x = 276,680 × 276,680
  4. Step 4: Simplify right side
    174,448x = 76,551,822,400
  5. Step 5: Solve for x
    x = 76,551,822,400/174,448
  6. Step 6: Final answer
    x = 438,823.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.