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Finding the Third Proportional to 156,880 and 236,772

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Solution

The third proportional to 156,880 and 236,772 is: 357,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,880 : 236,772 = 236,772 : x
  2. Step 2: Convert to fraction form
    156,880/236,772 = 236,772/x
  3. Step 3: Cross multiply
    156,880x = 236,772 × 236,772
  4. Step 4: Simplify right side
    156,880x = 56,060,979,984
  5. Step 5: Solve for x
    x = 56,060,979,984/156,880
  6. Step 6: Final answer
    x = 357,349.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.