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Finding the Third Proportional to 143,191.13 and 282,767.63

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Solution

The third proportional to 143,191.13 and 282,767.63 is: 558,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,191.13 : 282,767.63 = 282,767.63 : x
  2. Step 2: Convert to fraction form
    143,191.13/282,767.63 = 282,767.63/x
  3. Step 3: Cross multiply
    143,191.13x = 282,767.63 × 282,767.63
  4. Step 4: Simplify right side
    143,191.13x = 79,957,529,748.14
  5. Step 5: Solve for x
    x = 79,957,529,748.14/143,191.13
  6. Step 6: Final answer
    x = 558,397.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.