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Finding the Third Proportional to 109,645 and 239,090

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Solution

The third proportional to 109,645 and 239,090 is: 521,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,645 : 239,090 = 239,090 : x
  2. Step 2: Convert to fraction form
    109,645/239,090 = 239,090/x
  3. Step 3: Cross multiply
    109,645x = 239,090 × 239,090
  4. Step 4: Simplify right side
    109,645x = 57,164,028,100
  5. Step 5: Solve for x
    x = 57,164,028,100/109,645
  6. Step 6: Final answer
    x = 521,355.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.