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Finding the Third Proportional to 245,590 and 366,868

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Solution

The third proportional to 245,590 and 366,868 is: 548,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,590 : 366,868 = 366,868 : x
  2. Step 2: Convert to fraction form
    245,590/366,868 = 366,868/x
  3. Step 3: Cross multiply
    245,590x = 366,868 × 366,868
  4. Step 4: Simplify right side
    245,590x = 134,592,129,424
  5. Step 5: Solve for x
    x = 134,592,129,424/245,590
  6. Step 6: Final answer
    x = 548,035.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.