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Finding the Third Proportional to 159,234.50 and 341,242.50

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Solution

The third proportional to 159,234.50 and 341,242.50 is: 731,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,234.50 : 341,242.50 = 341,242.50 : x
  2. Step 2: Convert to fraction form
    159,234.50/341,242.50 = 341,242.50/x
  3. Step 3: Cross multiply
    159,234.50x = 341,242.50 × 341,242.50
  4. Step 4: Simplify right side
    159,234.50x = 116,446,443,806.25
  5. Step 5: Solve for x
    x = 116,446,443,806.25/159,234.50
  6. Step 6: Final answer
    x = 731,289.03

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Why These Related Problems?

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