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Finding the Third Proportional to 159,013.75 and 342,938.79

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Solution

The third proportional to 159,013.75 and 342,938.79 is: 739,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,013.75 : 342,938.79 = 342,938.79 : x
  2. Step 2: Convert to fraction form
    159,013.75/342,938.79 = 342,938.79/x
  3. Step 3: Cross multiply
    159,013.75x = 342,938.79 × 342,938.79
  4. Step 4: Simplify right side
    159,013.75x = 117,607,015,555.42
  5. Step 5: Solve for x
    x = 117,607,015,555.42/159,013.75
  6. Step 6: Final answer
    x = 739,602.81

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Why These Related Problems?

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