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Finding the Third Proportional to 177,686 and 362,507

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Solution

The third proportional to 177,686 and 362,507 is: 739,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,686 : 362,507 = 362,507 : x
  2. Step 2: Convert to fraction form
    177,686/362,507 = 362,507/x
  3. Step 3: Cross multiply
    177,686x = 362,507 × 362,507
  4. Step 4: Simplify right side
    177,686x = 131,411,325,049
  5. Step 5: Solve for x
    x = 131,411,325,049/177,686
  6. Step 6: Final answer
    x = 739,570.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.