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Finding the Third Proportional to 140,098 and 211,605

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Solution

The third proportional to 140,098 and 211,605 is: 319,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,098 : 211,605 = 211,605 : x
  2. Step 2: Convert to fraction form
    140,098/211,605 = 211,605/x
  3. Step 3: Cross multiply
    140,098x = 211,605 × 211,605
  4. Step 4: Simplify right side
    140,098x = 44,776,676,025
  5. Step 5: Solve for x
    x = 44,776,676,025/140,098
  6. Step 6: Final answer
    x = 319,609.67

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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.