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Finding the Third Proportional to 109,346 and 239,116

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Solution

The third proportional to 109,346 and 239,116 is: 522,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,346 : 239,116 = 239,116 : x
  2. Step 2: Convert to fraction form
    109,346/239,116 = 239,116/x
  3. Step 3: Cross multiply
    109,346x = 239,116 × 239,116
  4. Step 4: Simplify right side
    109,346x = 57,176,461,456
  5. Step 5: Solve for x
    x = 57,176,461,456/109,346
  6. Step 6: Final answer
    x = 522,894.86

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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.