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Finding the Third Proportional to 162,912 and 251,733

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Solution

The third proportional to 162,912 and 251,733 is: 388,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,912 : 251,733 = 251,733 : x
  2. Step 2: Convert to fraction form
    162,912/251,733 = 251,733/x
  3. Step 3: Cross multiply
    162,912x = 251,733 × 251,733
  4. Step 4: Simplify right side
    162,912x = 63,369,503,289
  5. Step 5: Solve for x
    x = 63,369,503,289/162,912
  6. Step 6: Final answer
    x = 388,979.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.