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Finding the Third Proportional to 157,449 and 339,763.50

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Solution

The third proportional to 157,449 and 339,763.50 is: 733,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,449 : 339,763.50 = 339,763.50 : x
  2. Step 2: Convert to fraction form
    157,449/339,763.50 = 339,763.50/x
  3. Step 3: Cross multiply
    157,449x = 339,763.50 × 339,763.50
  4. Step 4: Simplify right side
    157,449x = 115,439,235,932.25
  5. Step 5: Solve for x
    x = 115,439,235,932.25/157,449
  6. Step 6: Final answer
    x = 733,184.94

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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.