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Finding the Third Proportional to 156,738 and 235,106

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Solution

The third proportional to 156,738 and 235,106 is: 352,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,738 : 235,106 = 235,106 : x
  2. Step 2: Convert to fraction form
    156,738/235,106 = 235,106/x
  3. Step 3: Cross multiply
    156,738x = 235,106 × 235,106
  4. Step 4: Simplify right side
    156,738x = 55,274,831,236
  5. Step 5: Solve for x
    x = 55,274,831,236/156,738
  6. Step 6: Final answer
    x = 352,657.50

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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.