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Finding the Third Proportional to 147,716.50 and 215,116

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Solution

The third proportional to 147,716.50 and 215,116 is: 313,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,716.50 : 215,116 = 215,116 : x
  2. Step 2: Convert to fraction form
    147,716.50/215,116 = 215,116/x
  3. Step 3: Cross multiply
    147,716.50x = 215,116 × 215,116
  4. Step 4: Simplify right side
    147,716.50x = 46,274,893,456
  5. Step 5: Solve for x
    x = 46,274,893,456/147,716.50
  6. Step 6: Final answer
    x = 313,268.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.