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Finding the Third Proportional to 143,857.13 and 217,784.81

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Solution

The third proportional to 143,857.13 and 217,784.81 is: 329,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,857.13 : 217,784.81 = 217,784.81 : x
  2. Step 2: Convert to fraction form
    143,857.13/217,784.81 = 217,784.81/x
  3. Step 3: Cross multiply
    143,857.13x = 217,784.81 × 217,784.81
  4. Step 4: Simplify right side
    143,857.13x = 47,430,224,555.66
  5. Step 5: Solve for x
    x = 47,430,224,555.66/143,857.13
  6. Step 6: Final answer
    x = 329,703.69

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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.