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Finding the Third Proportional to 174,865 and 265,717

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Solution

The third proportional to 174,865 and 265,717 is: 403,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,865 : 265,717 = 265,717 : x
  2. Step 2: Convert to fraction form
    174,865/265,717 = 265,717/x
  3. Step 3: Cross multiply
    174,865x = 265,717 × 265,717
  4. Step 4: Simplify right side
    174,865x = 70,605,524,089
  5. Step 5: Solve for x
    x = 70,605,524,089/174,865
  6. Step 6: Final answer
    x = 403,771.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.