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Finding the Third Proportional to 110,142 and 241,392

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Solution

The third proportional to 110,142 and 241,392 is: 529,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,142 : 241,392 = 241,392 : x
  2. Step 2: Convert to fraction form
    110,142/241,392 = 241,392/x
  3. Step 3: Cross multiply
    110,142x = 241,392 × 241,392
  4. Step 4: Simplify right side
    110,142x = 58,270,097,664
  5. Step 5: Solve for x
    x = 58,270,097,664/110,142
  6. Step 6: Final answer
    x = 529,045.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.