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Finding the Third Proportional to 175,293 and 383,755

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Solution

The third proportional to 175,293 and 383,755 is: 840,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,293 : 383,755 = 383,755 : x
  2. Step 2: Convert to fraction form
    175,293/383,755 = 383,755/x
  3. Step 3: Cross multiply
    175,293x = 383,755 × 383,755
  4. Step 4: Simplify right side
    175,293x = 147,267,900,025
  5. Step 5: Solve for x
    x = 147,267,900,025/175,293
  6. Step 6: Final answer
    x = 840,124.25

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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.