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Finding the Third Proportional to 109,032 and 238,881

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Solution

The third proportional to 109,032 and 238,881 is: 523,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,032 : 238,881 = 238,881 : x
  2. Step 2: Convert to fraction form
    109,032/238,881 = 238,881/x
  3. Step 3: Cross multiply
    109,032x = 238,881 × 238,881
  4. Step 4: Simplify right side
    109,032x = 57,064,132,161
  5. Step 5: Solve for x
    x = 57,064,132,161/109,032
  6. Step 6: Final answer
    x = 523,370.50

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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.