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Finding the Third Proportional to 239,654 and 366,753

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Solution

The third proportional to 239,654 and 366,753 is: 561,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,654 : 366,753 = 366,753 : x
  2. Step 2: Convert to fraction form
    239,654/366,753 = 366,753/x
  3. Step 3: Cross multiply
    239,654x = 366,753 × 366,753
  4. Step 4: Simplify right side
    239,654x = 134,507,763,009
  5. Step 5: Solve for x
    x = 134,507,763,009/239,654
  6. Step 6: Final answer
    x = 561,258.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.