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Finding the Third Proportional to 143,047.75 and 216,412.75

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Solution

The third proportional to 143,047.75 and 216,412.75 is: 327,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,047.75 : 216,412.75 = 216,412.75 : x
  2. Step 2: Convert to fraction form
    143,047.75/216,412.75 = 216,412.75/x
  3. Step 3: Cross multiply
    143,047.75x = 216,412.75 × 216,412.75
  4. Step 4: Simplify right side
    143,047.75x = 46,834,478,362.56
  5. Step 5: Solve for x
    x = 46,834,478,362.56/143,047.75
  6. Step 6: Final answer
    x = 327,404.51

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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.