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Finding the Third Proportional to 174,348 and 383,688

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Solution

The third proportional to 174,348 and 383,688 is: 844,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,348 : 383,688 = 383,688 : x
  2. Step 2: Convert to fraction form
    174,348/383,688 = 383,688/x
  3. Step 3: Cross multiply
    174,348x = 383,688 × 383,688
  4. Step 4: Simplify right side
    174,348x = 147,216,481,344
  5. Step 5: Solve for x
    x = 147,216,481,344/174,348
  6. Step 6: Final answer
    x = 844,382.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.