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Finding the Third Proportional to 156,673 and 334,485

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Solution

The third proportional to 156,673 and 334,485 is: 714,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,673 : 334,485 = 334,485 : x
  2. Step 2: Convert to fraction form
    156,673/334,485 = 334,485/x
  3. Step 3: Cross multiply
    156,673x = 334,485 × 334,485
  4. Step 4: Simplify right side
    156,673x = 111,880,215,225
  5. Step 5: Solve for x
    x = 111,880,215,225/156,673
  6. Step 6: Final answer
    x = 714,100.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.