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Finding the Third Proportional to 156,910 and 235,714

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Solution

The third proportional to 156,910 and 235,714 is: 354,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,910 : 235,714 = 235,714 : x
  2. Step 2: Convert to fraction form
    156,910/235,714 = 235,714/x
  3. Step 3: Cross multiply
    156,910x = 235,714 × 235,714
  4. Step 4: Simplify right side
    156,910x = 55,561,089,796
  5. Step 5: Solve for x
    x = 55,561,089,796/156,910
  6. Step 6: Final answer
    x = 354,095.28

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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.