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Finding the Third Proportional to 156,786 and 344,786

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Solution

The third proportional to 156,786 and 344,786 is: 758,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,786 : 344,786 = 344,786 : x
  2. Step 2: Convert to fraction form
    156,786/344,786 = 344,786/x
  3. Step 3: Cross multiply
    156,786x = 344,786 × 344,786
  4. Step 4: Simplify right side
    156,786x = 118,877,385,796
  5. Step 5: Solve for x
    x = 118,877,385,796/156,786
  6. Step 6: Final answer
    x = 758,214.29

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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.