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Finding the Third Proportional to 156,536 and 335,208

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Solution

The third proportional to 156,536 and 335,208 is: 717,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,536 : 335,208 = 335,208 : x
  2. Step 2: Convert to fraction form
    156,536/335,208 = 335,208/x
  3. Step 3: Cross multiply
    156,536x = 335,208 × 335,208
  4. Step 4: Simplify right side
    156,536x = 112,364,403,264
  5. Step 5: Solve for x
    x = 112,364,403,264/156,536
  6. Step 6: Final answer
    x = 717,818.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.