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Finding the Third Proportional to 329,197.50 and 442,280.25

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Solution

The third proportional to 329,197.50 and 442,280.25 is: 594,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,197.50 : 442,280.25 = 442,280.25 : x
  2. Step 2: Convert to fraction form
    329,197.50/442,280.25 = 442,280.25/x
  3. Step 3: Cross multiply
    329,197.50x = 442,280.25 × 442,280.25
  4. Step 4: Simplify right side
    329,197.50x = 195,611,819,540.06
  5. Step 5: Solve for x
    x = 195,611,819,540.06/329,197.50
  6. Step 6: Final answer
    x = 594,208.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.