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Finding the Third Proportional to 156,966 and 343,594

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Solution

The third proportional to 156,966 and 343,594 is: 752,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 343,594 = 343,594 : x
  2. Step 2: Convert to fraction form
    156,966/343,594 = 343,594/x
  3. Step 3: Cross multiply
    156,966x = 343,594 × 343,594
  4. Step 4: Simplify right side
    156,966x = 118,056,836,836
  5. Step 5: Solve for x
    x = 118,056,836,836/156,966
  6. Step 6: Final answer
    x = 752,117.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.