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Finding the Third Proportional to 156,971 and 234,844

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Solution

The third proportional to 156,971 and 234,844 is: 351,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,971 : 234,844 = 234,844 : x
  2. Step 2: Convert to fraction form
    156,971/234,844 = 234,844/x
  3. Step 3: Cross multiply
    156,971x = 234,844 × 234,844
  4. Step 4: Simplify right side
    156,971x = 55,151,704,336
  5. Step 5: Solve for x
    x = 55,151,704,336/156,971
  6. Step 6: Final answer
    x = 351,349.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.