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Finding the Third Proportional to 100,694 and 235,174

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Solution

The third proportional to 100,694 and 235,174 is: 549,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,694 : 235,174 = 235,174 : x
  2. Step 2: Convert to fraction form
    100,694/235,174 = 235,174/x
  3. Step 3: Cross multiply
    100,694x = 235,174 × 235,174
  4. Step 4: Simplify right side
    100,694x = 55,306,810,276
  5. Step 5: Solve for x
    x = 55,306,810,276/100,694
  6. Step 6: Final answer
    x = 549,256.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.