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Finding the Third Proportional to 194,895 and 426,240

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Solution

The third proportional to 194,895 and 426,240 is: 932,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,895 : 426,240 = 426,240 : x
  2. Step 2: Convert to fraction form
    194,895/426,240 = 426,240/x
  3. Step 3: Cross multiply
    194,895x = 426,240 × 426,240
  4. Step 4: Simplify right side
    194,895x = 181,680,537,600
  5. Step 5: Solve for x
    x = 181,680,537,600/194,895
  6. Step 6: Final answer
    x = 932,197.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.