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Finding the Third Proportional to 156,956 and 343,053

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Solution

The third proportional to 156,956 and 343,053 is: 749,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,956 : 343,053 = 343,053 : x
  2. Step 2: Convert to fraction form
    156,956/343,053 = 343,053/x
  3. Step 3: Cross multiply
    156,956x = 343,053 × 343,053
  4. Step 4: Simplify right side
    156,956x = 117,685,360,809
  5. Step 5: Solve for x
    x = 117,685,360,809/156,956
  6. Step 6: Final answer
    x = 749,798.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.