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Finding the Third Proportional to 109,023 and 241,362

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Solution

The third proportional to 109,023 and 241,362 is: 534,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,023 : 241,362 = 241,362 : x
  2. Step 2: Convert to fraction form
    109,023/241,362 = 241,362/x
  3. Step 3: Cross multiply
    109,023x = 241,362 × 241,362
  4. Step 4: Simplify right side
    109,023x = 58,255,615,044
  5. Step 5: Solve for x
    x = 58,255,615,044/109,023
  6. Step 6: Final answer
    x = 534,342.43

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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.