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Finding the Third Proportional to 175,026 and 383,940

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Solution

The third proportional to 175,026 and 383,940 is: 842,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,026 : 383,940 = 383,940 : x
  2. Step 2: Convert to fraction form
    175,026/383,940 = 383,940/x
  3. Step 3: Cross multiply
    175,026x = 383,940 × 383,940
  4. Step 4: Simplify right side
    175,026x = 147,409,923,600
  5. Step 5: Solve for x
    x = 147,409,923,600/175,026
  6. Step 6: Final answer
    x = 842,217.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.