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Finding the Third Proportional to 175,302 and 383,769

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Solution

The third proportional to 175,302 and 383,769 is: 840,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,302 : 383,769 = 383,769 : x
  2. Step 2: Convert to fraction form
    175,302/383,769 = 383,769/x
  3. Step 3: Cross multiply
    175,302x = 383,769 × 383,769
  4. Step 4: Simplify right side
    175,302x = 147,278,645,361
  5. Step 5: Solve for x
    x = 147,278,645,361/175,302
  6. Step 6: Final answer
    x = 840,142.41

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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.