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Finding the Third Proportional to 162,913 and 227,593

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Solution

The third proportional to 162,913 and 227,593 is: 317,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,913 : 227,593 = 227,593 : x
  2. Step 2: Convert to fraction form
    162,913/227,593 = 227,593/x
  3. Step 3: Cross multiply
    162,913x = 227,593 × 227,593
  4. Step 4: Simplify right side
    162,913x = 51,798,573,649
  5. Step 5: Solve for x
    x = 51,798,573,649/162,913
  6. Step 6: Final answer
    x = 317,952.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.