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Finding the Third Proportional to 156,924 and 340,416

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Solution

The third proportional to 156,924 and 340,416 is: 738,466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,924 : 340,416 = 340,416 : x
  2. Step 2: Convert to fraction form
    156,924/340,416 = 340,416/x
  3. Step 3: Cross multiply
    156,924x = 340,416 × 340,416
  4. Step 4: Simplify right side
    156,924x = 115,883,053,056
  5. Step 5: Solve for x
    x = 115,883,053,056/156,924
  6. Step 6: Final answer
    x = 738,466.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.