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Finding the Third Proportional to 176,238 and 283,706

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Solution

The third proportional to 176,238 and 283,706 is: 456,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,238 : 283,706 = 283,706 : x
  2. Step 2: Convert to fraction form
    176,238/283,706 = 283,706/x
  3. Step 3: Cross multiply
    176,238x = 283,706 × 283,706
  4. Step 4: Simplify right side
    176,238x = 80,489,094,436
  5. Step 5: Solve for x
    x = 80,489,094,436/176,238
  6. Step 6: Final answer
    x = 456,706.81

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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.