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Finding the Third Proportional to 173,481 and 376,427

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Solution

The third proportional to 173,481 and 376,427 is: 816,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,481 : 376,427 = 376,427 : x
  2. Step 2: Convert to fraction form
    173,481/376,427 = 376,427/x
  3. Step 3: Cross multiply
    173,481x = 376,427 × 376,427
  4. Step 4: Simplify right side
    173,481x = 141,697,286,329
  5. Step 5: Solve for x
    x = 141,697,286,329/173,481
  6. Step 6: Final answer
    x = 816,788.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.