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Finding the Third Proportional to 173,026 and 375,427

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Solution

The third proportional to 173,026 and 375,427 is: 814,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,026 : 375,427 = 375,427 : x
  2. Step 2: Convert to fraction form
    173,026/375,427 = 375,427/x
  3. Step 3: Cross multiply
    173,026x = 375,427 × 375,427
  4. Step 4: Simplify right side
    173,026x = 140,945,432,329
  5. Step 5: Solve for x
    x = 140,945,432,329/173,026
  6. Step 6: Final answer
    x = 814,591.06

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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.