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Finding the Third Proportional to 159,927.19 and 341,997.75

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Solution

The third proportional to 159,927.19 and 341,997.75 is: 731,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,927.19 : 341,997.75 = 341,997.75 : x
  2. Step 2: Convert to fraction form
    159,927.19/341,997.75 = 341,997.75/x
  3. Step 3: Cross multiply
    159,927.19x = 341,997.75 × 341,997.75
  4. Step 4: Simplify right side
    159,927.19x = 116,962,461,005.06
  5. Step 5: Solve for x
    x = 116,962,461,005.06/159,927.19
  6. Step 6: Final answer
    x = 731,348.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.