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Finding the Third Proportional to 156,066 and 235,205

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Solution

The third proportional to 156,066 and 235,205 is: 354,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,066 : 235,205 = 235,205 : x
  2. Step 2: Convert to fraction form
    156,066/235,205 = 235,205/x
  3. Step 3: Cross multiply
    156,066x = 235,205 × 235,205
  4. Step 4: Simplify right side
    156,066x = 55,321,392,025
  5. Step 5: Solve for x
    x = 55,321,392,025/156,066
  6. Step 6: Final answer
    x = 354,474.34

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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.