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Finding the Third Proportional to 156,052 and 338,674

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Solution

The third proportional to 156,052 and 338,674 is: 735,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,052 : 338,674 = 338,674 : x
  2. Step 2: Convert to fraction form
    156,052/338,674 = 338,674/x
  3. Step 3: Cross multiply
    156,052x = 338,674 × 338,674
  4. Step 4: Simplify right side
    156,052x = 114,700,078,276
  5. Step 5: Solve for x
    x = 114,700,078,276/156,052
  6. Step 6: Final answer
    x = 735,011.91

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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.