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Finding the Third Proportional to 156,966 and 335,480

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Solution

The third proportional to 156,966 and 335,480 is: 717,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 335,480 = 335,480 : x
  2. Step 2: Convert to fraction form
    156,966/335,480 = 335,480/x
  3. Step 3: Cross multiply
    156,966x = 335,480 × 335,480
  4. Step 4: Simplify right side
    156,966x = 112,546,830,400
  5. Step 5: Solve for x
    x = 112,546,830,400/156,966
  6. Step 6: Final answer
    x = 717,014.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.