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Finding the Third Proportional to 195,404 and 426,164

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Solution

The third proportional to 195,404 and 426,164 is: 929,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,404 : 426,164 = 426,164 : x
  2. Step 2: Convert to fraction form
    195,404/426,164 = 426,164/x
  3. Step 3: Cross multiply
    195,404x = 426,164 × 426,164
  4. Step 4: Simplify right side
    195,404x = 181,615,754,896
  5. Step 5: Solve for x
    x = 181,615,754,896/195,404
  6. Step 6: Final answer
    x = 929,437.24

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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.