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Finding the Third Proportional to 131,025 and 207,807

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Solution

The third proportional to 131,025 and 207,807 is: 329,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,025 : 207,807 = 207,807 : x
  2. Step 2: Convert to fraction form
    131,025/207,807 = 207,807/x
  3. Step 3: Cross multiply
    131,025x = 207,807 × 207,807
  4. Step 4: Simplify right side
    131,025x = 43,183,749,249
  5. Step 5: Solve for x
    x = 43,183,749,249/131,025
  6. Step 6: Final answer
    x = 329,584.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.