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Finding the Third Proportional to 155,999 and 334,174

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Solution

The third proportional to 155,999 and 334,174 is: 715,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,999 : 334,174 = 334,174 : x
  2. Step 2: Convert to fraction form
    155,999/334,174 = 334,174/x
  3. Step 3: Cross multiply
    155,999x = 334,174 × 334,174
  4. Step 4: Simplify right side
    155,999x = 111,672,262,276
  5. Step 5: Solve for x
    x = 111,672,262,276/155,999
  6. Step 6: Final answer
    x = 715,852.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.