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Finding the Third Proportional to 243,880 and 366,470

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Solution

The third proportional to 243,880 and 366,470 is: 550,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,880 : 366,470 = 366,470 : x
  2. Step 2: Convert to fraction form
    243,880/366,470 = 366,470/x
  3. Step 3: Cross multiply
    243,880x = 366,470 × 366,470
  4. Step 4: Simplify right side
    243,880x = 134,300,260,900
  5. Step 5: Solve for x
    x = 134,300,260,900/243,880
  6. Step 6: Final answer
    x = 550,681.73

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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.