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Finding the Third Proportional to 193,197.66 and 284,206.22

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Solution

The third proportional to 193,197.66 and 284,206.22 is: 418,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,197.66 : 284,206.22 = 284,206.22 : x
  2. Step 2: Convert to fraction form
    193,197.66/284,206.22 = 284,206.22/x
  3. Step 3: Cross multiply
    193,197.66x = 284,206.22 × 284,206.22
  4. Step 4: Simplify right side
    193,197.66x = 80,773,174,776.17
  5. Step 5: Solve for x
    x = 80,773,174,776.17/193,197.66
  6. Step 6: Final answer
    x = 418,085.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.