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Finding the Third Proportional to 173,650 and 260,427

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Solution

The third proportional to 173,650 and 260,427 is: 390,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,650 : 260,427 = 260,427 : x
  2. Step 2: Convert to fraction form
    173,650/260,427 = 260,427/x
  3. Step 3: Cross multiply
    173,650x = 260,427 × 260,427
  4. Step 4: Simplify right side
    173,650x = 67,822,222,329
  5. Step 5: Solve for x
    x = 67,822,222,329/173,650
  6. Step 6: Final answer
    x = 390,568.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.