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Finding the Third Proportional to 207,984 and 304,176

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Solution

The third proportional to 207,984 and 304,176 is: 444,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,984 : 304,176 = 304,176 : x
  2. Step 2: Convert to fraction form
    207,984/304,176 = 304,176/x
  3. Step 3: Cross multiply
    207,984x = 304,176 × 304,176
  4. Step 4: Simplify right side
    207,984x = 92,523,038,976
  5. Step 5: Solve for x
    x = 92,523,038,976/207,984
  6. Step 6: Final answer
    x = 444,856.52

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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.