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Finding the Third Proportional to 155,464.50 and 329,611.50

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Solution

The third proportional to 155,464.50 and 329,611.50 is: 698,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,464.50 : 329,611.50 = 329,611.50 : x
  2. Step 2: Convert to fraction form
    155,464.50/329,611.50 = 329,611.50/x
  3. Step 3: Cross multiply
    155,464.50x = 329,611.50 × 329,611.50
  4. Step 4: Simplify right side
    155,464.50x = 108,643,740,932.25
  5. Step 5: Solve for x
    x = 108,643,740,932.25/155,464.50
  6. Step 6: Final answer
    x = 698,833.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.