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Finding the Third Proportional to 227,166 and 352,753.50

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Solution

The third proportional to 227,166 and 352,753.50 is: 547,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,166 : 352,753.50 = 352,753.50 : x
  2. Step 2: Convert to fraction form
    227,166/352,753.50 = 352,753.50/x
  3. Step 3: Cross multiply
    227,166x = 352,753.50 × 352,753.50
  4. Step 4: Simplify right side
    227,166x = 124,435,031,762.25
  5. Step 5: Solve for x
    x = 124,435,031,762.25/227,166
  6. Step 6: Final answer
    x = 547,771.37

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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.