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Finding the Third Proportional to 153,808 and 334,544

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Solution

The third proportional to 153,808 and 334,544 is: 727,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,808 : 334,544 = 334,544 : x
  2. Step 2: Convert to fraction form
    153,808/334,544 = 334,544/x
  3. Step 3: Cross multiply
    153,808x = 334,544 × 334,544
  4. Step 4: Simplify right side
    153,808x = 111,919,687,936
  5. Step 5: Solve for x
    x = 111,919,687,936/153,808
  6. Step 6: Final answer
    x = 727,658.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.