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Finding the Third Proportional to 176,215 and 283,733

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Solution

The third proportional to 176,215 and 283,733 is: 456,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,215 : 283,733 = 283,733 : x
  2. Step 2: Convert to fraction form
    176,215/283,733 = 283,733/x
  3. Step 3: Cross multiply
    176,215x = 283,733 × 283,733
  4. Step 4: Simplify right side
    176,215x = 80,504,415,289
  5. Step 5: Solve for x
    x = 80,504,415,289/176,215
  6. Step 6: Final answer
    x = 456,853.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.