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Finding the Third Proportional to 180,034 and 393,952

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Solution

The third proportional to 180,034 and 393,952 is: 862,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,034 : 393,952 = 393,952 : x
  2. Step 2: Convert to fraction form
    180,034/393,952 = 393,952/x
  3. Step 3: Cross multiply
    180,034x = 393,952 × 393,952
  4. Step 4: Simplify right side
    180,034x = 155,198,178,304
  5. Step 5: Solve for x
    x = 155,198,178,304/180,034
  6. Step 6: Final answer
    x = 862,049.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.