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Finding the Third Proportional to 194,976 and 425,640

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Solution

The third proportional to 194,976 and 425,640 is: 929,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976 : 425,640 = 425,640 : x
  2. Step 2: Convert to fraction form
    194,976/425,640 = 425,640/x
  3. Step 3: Cross multiply
    194,976x = 425,640 × 425,640
  4. Step 4: Simplify right side
    194,976x = 181,169,409,600
  5. Step 5: Solve for x
    x = 181,169,409,600/194,976
  6. Step 6: Final answer
    x = 929,188.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.