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Finding the Third Proportional to 170,287.50 and 365,025

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Solution

The third proportional to 170,287.50 and 365,025 is: 782,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,287.50 : 365,025 = 365,025 : x
  2. Step 2: Convert to fraction form
    170,287.50/365,025 = 365,025/x
  3. Step 3: Cross multiply
    170,287.50x = 365,025 × 365,025
  4. Step 4: Simplify right side
    170,287.50x = 133,243,250,625
  5. Step 5: Solve for x
    x = 133,243,250,625/170,287.50
  6. Step 6: Final answer
    x = 782,460.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.