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Finding the Third Proportional to 156,713 and 220,205

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Solution

The third proportional to 156,713 and 220,205 is: 309,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,713 : 220,205 = 220,205 : x
  2. Step 2: Convert to fraction form
    156,713/220,205 = 220,205/x
  3. Step 3: Cross multiply
    156,713x = 220,205 × 220,205
  4. Step 4: Simplify right side
    156,713x = 48,490,242,025
  5. Step 5: Solve for x
    x = 48,490,242,025/156,713
  6. Step 6: Final answer
    x = 309,420.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.