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Finding the Third Proportional to 159,205.50 and 343,207.13

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Solution

The third proportional to 159,205.50 and 343,207.13 is: 739,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,205.50 : 343,207.13 = 343,207.13 : x
  2. Step 2: Convert to fraction form
    159,205.50/343,207.13 = 343,207.13/x
  3. Step 3: Cross multiply
    159,205.50x = 343,207.13 × 343,207.13
  4. Step 4: Simplify right side
    159,205.50x = 117,791,130,650.77
  5. Step 5: Solve for x
    x = 117,791,130,650.77/159,205.50
  6. Step 6: Final answer
    x = 739,868.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.