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Finding the Third Proportional to 245,624 and 366,915

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Solution

The third proportional to 245,624 and 366,915 is: 548,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,624 : 366,915 = 366,915 : x
  2. Step 2: Convert to fraction form
    245,624/366,915 = 366,915/x
  3. Step 3: Cross multiply
    245,624x = 366,915 × 366,915
  4. Step 4: Simplify right side
    245,624x = 134,626,617,225
  5. Step 5: Solve for x
    x = 134,626,617,225/245,624
  6. Step 6: Final answer
    x = 548,100.42

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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.