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Finding the Third Proportional to 207,872 and 304,032

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Solution

The third proportional to 207,872 and 304,032 is: 444,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,872 : 304,032 = 304,032 : x
  2. Step 2: Convert to fraction form
    207,872/304,032 = 304,032/x
  3. Step 3: Cross multiply
    207,872x = 304,032 × 304,032
  4. Step 4: Simplify right side
    207,872x = 92,435,457,024
  5. Step 5: Solve for x
    x = 92,435,457,024/207,872
  6. Step 6: Final answer
    x = 444,674.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.