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Finding the Third Proportional to 159,977.81 and 342,099

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Solution

The third proportional to 159,977.81 and 342,099 is: 731,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,977.81 : 342,099 = 342,099 : x
  2. Step 2: Convert to fraction form
    159,977.81/342,099 = 342,099/x
  3. Step 3: Cross multiply
    159,977.81x = 342,099 × 342,099
  4. Step 4: Simplify right side
    159,977.81x = 117,031,725,801
  5. Step 5: Solve for x
    x = 117,031,725,801/159,977.81
  6. Step 6: Final answer
    x = 731,549.73

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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.