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Finding the Third Proportional to 169,041 and 241,714

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Solution

The third proportional to 169,041 and 241,714 is: 345,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,041 : 241,714 = 241,714 : x
  2. Step 2: Convert to fraction form
    169,041/241,714 = 241,714/x
  3. Step 3: Cross multiply
    169,041x = 241,714 × 241,714
  4. Step 4: Simplify right side
    169,041x = 58,425,657,796
  5. Step 5: Solve for x
    x = 58,425,657,796/169,041
  6. Step 6: Final answer
    x = 345,630.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.