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Finding the Third Proportional to 156,654 and 369,988

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Solution

The third proportional to 156,654 and 369,988 is: 873,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,654 : 369,988 = 369,988 : x
  2. Step 2: Convert to fraction form
    156,654/369,988 = 369,988/x
  3. Step 3: Cross multiply
    156,654x = 369,988 × 369,988
  4. Step 4: Simplify right side
    156,654x = 136,891,120,144
  5. Step 5: Solve for x
    x = 136,891,120,144/156,654
  6. Step 6: Final answer
    x = 873,843.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.