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Finding the Third Proportional to 155,497.50 and 339,142.50

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Solution

The third proportional to 155,497.50 and 339,142.50 is: 739,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,497.50 : 339,142.50 = 339,142.50 : x
  2. Step 2: Convert to fraction form
    155,497.50/339,142.50 = 339,142.50/x
  3. Step 3: Cross multiply
    155,497.50x = 339,142.50 × 339,142.50
  4. Step 4: Simplify right side
    155,497.50x = 115,017,635,306.25
  5. Step 5: Solve for x
    x = 115,017,635,306.25/155,497.50
  6. Step 6: Final answer
    x = 739,675.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.