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Finding the Third Proportional to 143,192.75 and 216,598.25

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Solution

The third proportional to 143,192.75 and 216,598.25 is: 327,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,192.75 : 216,598.25 = 216,598.25 : x
  2. Step 2: Convert to fraction form
    143,192.75/216,598.25 = 216,598.25/x
  3. Step 3: Cross multiply
    143,192.75x = 216,598.25 × 216,598.25
  4. Step 4: Simplify right side
    143,192.75x = 46,914,801,903.06
  5. Step 5: Solve for x
    x = 46,914,801,903.06/143,192.75
  6. Step 6: Final answer
    x = 327,633.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.