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Finding the Third Proportional to 194,140 and 426,348

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Solution

The third proportional to 194,140 and 426,348 is: 936,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,140 : 426,348 = 426,348 : x
  2. Step 2: Convert to fraction form
    194,140/426,348 = 426,348/x
  3. Step 3: Cross multiply
    194,140x = 426,348 × 426,348
  4. Step 4: Simplify right side
    194,140x = 181,772,617,104
  5. Step 5: Solve for x
    x = 181,772,617,104/194,140
  6. Step 6: Final answer
    x = 936,296.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.