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Finding the Third Proportional to 119,704 and 257,048

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Solution

The third proportional to 119,704 and 257,048 is: 551,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,704 : 257,048 = 257,048 : x
  2. Step 2: Convert to fraction form
    119,704/257,048 = 257,048/x
  3. Step 3: Cross multiply
    119,704x = 257,048 × 257,048
  4. Step 4: Simplify right side
    119,704x = 66,073,674,304
  5. Step 5: Solve for x
    x = 66,073,674,304/119,704
  6. Step 6: Final answer
    x = 551,975.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.