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Finding the Third Proportional to 207,651.38 and 325,317.94

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Solution

The third proportional to 207,651.38 and 325,317.94 is: 509,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,651.38 : 325,317.94 = 325,317.94 : x
  2. Step 2: Convert to fraction form
    207,651.38/325,317.94 = 325,317.94/x
  3. Step 3: Cross multiply
    207,651.38x = 325,317.94 × 325,317.94
  4. Step 4: Simplify right side
    207,651.38x = 105,831,760,459.25
  5. Step 5: Solve for x
    x = 105,831,760,459.25/207,651.38
  6. Step 6: Final answer
    x = 509,660.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.