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Finding the Third Proportional to 192,142 and 283,239

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Solution

The third proportional to 192,142 and 283,239 is: 417,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,142 : 283,239 = 283,239 : x
  2. Step 2: Convert to fraction form
    192,142/283,239 = 283,239/x
  3. Step 3: Cross multiply
    192,142x = 283,239 × 283,239
  4. Step 4: Simplify right side
    192,142x = 80,224,331,121
  5. Step 5: Solve for x
    x = 80,224,331,121/192,142
  6. Step 6: Final answer
    x = 417,526.26

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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.