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Finding the Third Proportional to 174,536 and 369,844

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Solution

The third proportional to 174,536 and 369,844 is: 783,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,536 : 369,844 = 369,844 : x
  2. Step 2: Convert to fraction form
    174,536/369,844 = 369,844/x
  3. Step 3: Cross multiply
    174,536x = 369,844 × 369,844
  4. Step 4: Simplify right side
    174,536x = 136,784,584,336
  5. Step 5: Solve for x
    x = 136,784,584,336/174,536
  6. Step 6: Final answer
    x = 783,704.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.