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Finding the Third Proportional to 109,263 and 239,928

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Solution

The third proportional to 109,263 and 239,928 is: 526,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,263 : 239,928 = 239,928 : x
  2. Step 2: Convert to fraction form
    109,263/239,928 = 239,928/x
  3. Step 3: Cross multiply
    109,263x = 239,928 × 239,928
  4. Step 4: Simplify right side
    109,263x = 57,565,445,184
  5. Step 5: Solve for x
    x = 57,565,445,184/109,263
  6. Step 6: Final answer
    x = 526,852.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.