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Finding the Third Proportional to 109,024 and 241,364

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Solution

The third proportional to 109,024 and 241,364 is: 534,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,024 : 241,364 = 241,364 : x
  2. Step 2: Convert to fraction form
    109,024/241,364 = 241,364/x
  3. Step 3: Cross multiply
    109,024x = 241,364 × 241,364
  4. Step 4: Simplify right side
    109,024x = 58,256,580,496
  5. Step 5: Solve for x
    x = 58,256,580,496/109,024
  6. Step 6: Final answer
    x = 534,346.39

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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.