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Finding the Third Proportional to 156,999 and 340,062

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Solution

The third proportional to 156,999 and 340,062 is: 736,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,999 : 340,062 = 340,062 : x
  2. Step 2: Convert to fraction form
    156,999/340,062 = 340,062/x
  3. Step 3: Cross multiply
    156,999x = 340,062 × 340,062
  4. Step 4: Simplify right side
    156,999x = 115,642,163,844
  5. Step 5: Solve for x
    x = 115,642,163,844/156,999
  6. Step 6: Final answer
    x = 736,578.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.