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Finding the Third Proportional to 149,536.13 and 205,612.17

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Solution

The third proportional to 149,536.13 and 205,612.17 is: 282,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,536.13 : 205,612.17 = 205,612.17 : x
  2. Step 2: Convert to fraction form
    149,536.13/205,612.17 = 205,612.17/x
  3. Step 3: Cross multiply
    149,536.13x = 205,612.17 × 205,612.17
  4. Step 4: Simplify right side
    149,536.13x = 42,276,365,223.15
  5. Step 5: Solve for x
    x = 42,276,365,223.15/149,536.13
  6. Step 6: Final answer
    x = 282,716.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.