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Finding the Third Proportional to 155,935 and 338,094

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Solution

The third proportional to 155,935 and 338,094 is: 733,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,935 : 338,094 = 338,094 : x
  2. Step 2: Convert to fraction form
    155,935/338,094 = 338,094/x
  3. Step 3: Cross multiply
    155,935x = 338,094 × 338,094
  4. Step 4: Simplify right side
    155,935x = 114,307,552,836
  5. Step 5: Solve for x
    x = 114,307,552,836/155,935
  6. Step 6: Final answer
    x = 733,046.16

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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.