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Finding the Third Proportional to 131,768 and 256,912

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Solution

The third proportional to 131,768 and 256,912 is: 500,908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,768 : 256,912 = 256,912 : x
  2. Step 2: Convert to fraction form
    131,768/256,912 = 256,912/x
  3. Step 3: Cross multiply
    131,768x = 256,912 × 256,912
  4. Step 4: Simplify right side
    131,768x = 66,003,775,744
  5. Step 5: Solve for x
    x = 66,003,775,744/131,768
  6. Step 6: Final answer
    x = 500,908.99

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.