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Finding the Third Proportional to 109,026 and 241,368

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Solution

The third proportional to 109,026 and 241,368 is: 534,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,026 : 241,368 = 241,368 : x
  2. Step 2: Convert to fraction form
    109,026/241,368 = 241,368/x
  3. Step 3: Cross multiply
    109,026x = 241,368 × 241,368
  4. Step 4: Simplify right side
    109,026x = 58,258,511,424
  5. Step 5: Solve for x
    x = 58,258,511,424/109,026
  6. Step 6: Final answer
    x = 534,354.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.