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Finding the Third Proportional to 175,292 and 383,753

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Solution

The third proportional to 175,292 and 383,753 is: 840,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,292 : 383,753 = 383,753 : x
  2. Step 2: Convert to fraction form
    175,292/383,753 = 383,753/x
  3. Step 3: Cross multiply
    175,292x = 383,753 × 383,753
  4. Step 4: Simplify right side
    175,292x = 147,266,365,009
  5. Step 5: Solve for x
    x = 147,266,365,009/175,292
  6. Step 6: Final answer
    x = 840,120.29

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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.