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Finding the Third Proportional to 192,008 and 296,032

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Solution

The third proportional to 192,008 and 296,032 is: 456,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,008 : 296,032 = 296,032 : x
  2. Step 2: Convert to fraction form
    192,008/296,032 = 296,032/x
  3. Step 3: Cross multiply
    192,008x = 296,032 × 296,032
  4. Step 4: Simplify right side
    192,008x = 87,634,945,024
  5. Step 5: Solve for x
    x = 87,634,945,024/192,008
  6. Step 6: Final answer
    x = 456,412.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.