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Finding the Third Proportional to 140,166 and 211,707

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Solution

The third proportional to 140,166 and 211,707 is: 319,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,166 : 211,707 = 211,707 : x
  2. Step 2: Convert to fraction form
    140,166/211,707 = 211,707/x
  3. Step 3: Cross multiply
    140,166x = 211,707 × 211,707
  4. Step 4: Simplify right side
    140,166x = 44,819,853,849
  5. Step 5: Solve for x
    x = 44,819,853,849/140,166
  6. Step 6: Final answer
    x = 319,762.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.