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Finding the Third Proportional to 131,465.48 and 283,949.86

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Solution

The third proportional to 131,465.48 and 283,949.86 is: 613,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,465.48 : 283,949.86 = 283,949.86 : x
  2. Step 2: Convert to fraction form
    131,465.48/283,949.86 = 283,949.86/x
  3. Step 3: Cross multiply
    131,465.48x = 283,949.86 × 283,949.86
  4. Step 4: Simplify right side
    131,465.48x = 80,627,523,263.01
  5. Step 5: Solve for x
    x = 80,627,523,263.01/131,465.48
  6. Step 6: Final answer
    x = 613,298.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.