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Finding the Third Proportional to 156,918 and 342,995

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Solution

The third proportional to 156,918 and 342,995 is: 749,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,918 : 342,995 = 342,995 : x
  2. Step 2: Convert to fraction form
    156,918/342,995 = 342,995/x
  3. Step 3: Cross multiply
    156,918x = 342,995 × 342,995
  4. Step 4: Simplify right side
    156,918x = 117,645,570,025
  5. Step 5: Solve for x
    x = 117,645,570,025/156,918
  6. Step 6: Final answer
    x = 749,726.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.