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Finding the Third Proportional to 278,172 and 417,068

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Solution

The third proportional to 278,172 and 417,068 is: 625,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,172 : 417,068 = 417,068 : x
  2. Step 2: Convert to fraction form
    278,172/417,068 = 417,068/x
  3. Step 3: Cross multiply
    278,172x = 417,068 × 417,068
  4. Step 4: Simplify right side
    278,172x = 173,945,716,624
  5. Step 5: Solve for x
    x = 173,945,716,624/278,172
  6. Step 6: Final answer
    x = 625,317.13

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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.