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Finding the Third Proportional to 175,878 and 357,966

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Solution

The third proportional to 175,878 and 357,966 is: 728,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,878 : 357,966 = 357,966 : x
  2. Step 2: Convert to fraction form
    175,878/357,966 = 357,966/x
  3. Step 3: Cross multiply
    175,878x = 357,966 × 357,966
  4. Step 4: Simplify right side
    175,878x = 128,139,657,156
  5. Step 5: Solve for x
    x = 128,139,657,156/175,878
  6. Step 6: Final answer
    x = 728,571.27

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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.