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Finding the Third Proportional to 156,628 and 343,873

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Solution

The third proportional to 156,628 and 343,873 is: 754,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,628 : 343,873 = 343,873 : x
  2. Step 2: Convert to fraction form
    156,628/343,873 = 343,873/x
  3. Step 3: Cross multiply
    156,628x = 343,873 × 343,873
  4. Step 4: Simplify right side
    156,628x = 118,248,640,129
  5. Step 5: Solve for x
    x = 118,248,640,129/156,628
  6. Step 6: Final answer
    x = 754,964.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.