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Finding the Third Proportional to 156,735 and 334,611

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Solution

The third proportional to 156,735 and 334,611 is: 714,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,735 : 334,611 = 334,611 : x
  2. Step 2: Convert to fraction form
    156,735/334,611 = 334,611/x
  3. Step 3: Cross multiply
    156,735x = 334,611 × 334,611
  4. Step 4: Simplify right side
    156,735x = 111,964,521,321
  5. Step 5: Solve for x
    x = 111,964,521,321/156,735
  6. Step 6: Final answer
    x = 714,355.58

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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.