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Finding the Third Proportional to 156,798 and 234,827

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Solution

The third proportional to 156,798 and 234,827 is: 351,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,798 : 234,827 = 234,827 : x
  2. Step 2: Convert to fraction form
    156,798/234,827 = 234,827/x
  3. Step 3: Cross multiply
    156,798x = 234,827 × 234,827
  4. Step 4: Simplify right side
    156,798x = 55,143,719,929
  5. Step 5: Solve for x
    x = 55,143,719,929/156,798
  6. Step 6: Final answer
    x = 351,686.37

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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.