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Finding the Third Proportional to 193,522.50 and 299,032.50

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Solution

The third proportional to 193,522.50 and 299,032.50 is: 462,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,522.50 : 299,032.50 = 299,032.50 : x
  2. Step 2: Convert to fraction form
    193,522.50/299,032.50 = 299,032.50/x
  3. Step 3: Cross multiply
    193,522.50x = 299,032.50 × 299,032.50
  4. Step 4: Simplify right side
    193,522.50x = 89,420,436,056.25
  5. Step 5: Solve for x
    x = 89,420,436,056.25/193,522.50
  6. Step 6: Final answer
    x = 462,067.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.