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Finding the Third Proportional to 177,698 and 375,348

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Solution

The third proportional to 177,698 and 375,348 is: 792,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,698 : 375,348 = 375,348 : x
  2. Step 2: Convert to fraction form
    177,698/375,348 = 375,348/x
  3. Step 3: Cross multiply
    177,698x = 375,348 × 375,348
  4. Step 4: Simplify right side
    177,698x = 140,886,121,104
  5. Step 5: Solve for x
    x = 140,886,121,104/177,698
  6. Step 6: Final answer
    x = 792,840.22

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.