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Finding the Third Proportional to 156,735 and 204,178

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Solution

The third proportional to 156,735 and 204,178 is: 265,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,735 : 204,178 = 204,178 : x
  2. Step 2: Convert to fraction form
    156,735/204,178 = 204,178/x
  3. Step 3: Cross multiply
    156,735x = 204,178 × 204,178
  4. Step 4: Simplify right side
    156,735x = 41,688,655,684
  5. Step 5: Solve for x
    x = 41,688,655,684/156,735
  6. Step 6: Final answer
    x = 265,981.79

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.