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Finding the Third Proportional to 241,412 and 351,174

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Solution

The third proportional to 241,412 and 351,174 is: 510,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,412 : 351,174 = 351,174 : x
  2. Step 2: Convert to fraction form
    241,412/351,174 = 351,174/x
  3. Step 3: Cross multiply
    241,412x = 351,174 × 351,174
  4. Step 4: Simplify right side
    241,412x = 123,323,178,276
  5. Step 5: Solve for x
    x = 123,323,178,276/241,412
  6. Step 6: Final answer
    x = 510,841.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.