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Finding the Third Proportional to 109,848 and 241,084

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Solution

The third proportional to 109,848 and 241,084 is: 529,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,848 : 241,084 = 241,084 : x
  2. Step 2: Convert to fraction form
    109,848/241,084 = 241,084/x
  3. Step 3: Cross multiply
    109,848x = 241,084 × 241,084
  4. Step 4: Simplify right side
    109,848x = 58,121,495,056
  5. Step 5: Solve for x
    x = 58,121,495,056/109,848
  6. Step 6: Final answer
    x = 529,108.36

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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.