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Finding the Third Proportional to 175,367 and 383,539

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Solution

The third proportional to 175,367 and 383,539 is: 838,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,367 : 383,539 = 383,539 : x
  2. Step 2: Convert to fraction form
    175,367/383,539 = 383,539/x
  3. Step 3: Cross multiply
    175,367x = 383,539 × 383,539
  4. Step 4: Simplify right side
    175,367x = 147,102,164,521
  5. Step 5: Solve for x
    x = 147,102,164,521/175,367
  6. Step 6: Final answer
    x = 838,824.66

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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.