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Finding the Third Proportional to 195,464 and 426,915

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Solution

The third proportional to 195,464 and 426,915 is: 932,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,464 : 426,915 = 426,915 : x
  2. Step 2: Convert to fraction form
    195,464/426,915 = 426,915/x
  3. Step 3: Cross multiply
    195,464x = 426,915 × 426,915
  4. Step 4: Simplify right side
    195,464x = 182,256,417,225
  5. Step 5: Solve for x
    x = 182,256,417,225/195,464
  6. Step 6: Final answer
    x = 932,429.59

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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.