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Finding the Third Proportional to 175,554 and 264,880

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Solution

The third proportional to 175,554 and 264,880 is: 399,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,554 : 264,880 = 264,880 : x
  2. Step 2: Convert to fraction form
    175,554/264,880 = 264,880/x
  3. Step 3: Cross multiply
    175,554x = 264,880 × 264,880
  4. Step 4: Simplify right side
    175,554x = 70,161,414,400
  5. Step 5: Solve for x
    x = 70,161,414,400/175,554
  6. Step 6: Final answer
    x = 399,657.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.