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Finding the Third Proportional to 156,786 and 338,340

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Solution

The third proportional to 156,786 and 338,340 is: 730,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,786 : 338,340 = 338,340 : x
  2. Step 2: Convert to fraction form
    156,786/338,340 = 338,340/x
  3. Step 3: Cross multiply
    156,786x = 338,340 × 338,340
  4. Step 4: Simplify right side
    156,786x = 114,473,955,600
  5. Step 5: Solve for x
    x = 114,473,955,600/156,786
  6. Step 6: Final answer
    x = 730,128.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.