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Finding the Third Proportional to 192,024 and 301,239

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Solution

The third proportional to 192,024 and 301,239 is: 472,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,024 : 301,239 = 301,239 : x
  2. Step 2: Convert to fraction form
    192,024/301,239 = 301,239/x
  3. Step 3: Cross multiply
    192,024x = 301,239 × 301,239
  4. Step 4: Simplify right side
    192,024x = 90,744,935,121
  5. Step 5: Solve for x
    x = 90,744,935,121/192,024
  6. Step 6: Final answer
    x = 472,570.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.