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Finding the Third Proportional to 153,194 and 334,836

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Solution

The third proportional to 153,194 and 334,836 is: 731,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,194 : 334,836 = 334,836 : x
  2. Step 2: Convert to fraction form
    153,194/334,836 = 334,836/x
  3. Step 3: Cross multiply
    153,194x = 334,836 × 334,836
  4. Step 4: Simplify right side
    153,194x = 112,115,146,896
  5. Step 5: Solve for x
    x = 112,115,146,896/153,194
  6. Step 6: Final answer
    x = 731,850.77

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