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Finding the Third Proportional to 142,416.98 and 214,086.80

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Solution

The third proportional to 142,416.98 and 214,086.80 is: 321,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,416.98 : 214,086.80 = 214,086.80 : x
  2. Step 2: Convert to fraction form
    142,416.98/214,086.80 = 214,086.80/x
  3. Step 3: Cross multiply
    142,416.98x = 214,086.80 × 214,086.80
  4. Step 4: Simplify right side
    142,416.98x = 45,833,156,596.20
  5. Step 5: Solve for x
    x = 45,833,156,596.20/142,416.98
  6. Step 6: Final answer
    x = 321,823.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.