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Finding the Third Proportional to 175,329 and 383,463

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Solution

The third proportional to 175,329 and 383,463 is: 838,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,329 : 383,463 = 383,463 : x
  2. Step 2: Convert to fraction form
    175,329/383,463 = 383,463/x
  3. Step 3: Cross multiply
    175,329x = 383,463 × 383,463
  4. Step 4: Simplify right side
    175,329x = 147,043,872,369
  5. Step 5: Solve for x
    x = 147,043,872,369/175,329
  6. Step 6: Final answer
    x = 838,673.99

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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.