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Finding the Third Proportional to 173,004 and 372,684

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Solution

The third proportional to 173,004 and 372,684 is: 802,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,004 : 372,684 = 372,684 : x
  2. Step 2: Convert to fraction form
    173,004/372,684 = 372,684/x
  3. Step 3: Cross multiply
    173,004x = 372,684 × 372,684
  4. Step 4: Simplify right side
    173,004x = 138,893,363,856
  5. Step 5: Solve for x
    x = 138,893,363,856/173,004
  6. Step 6: Final answer
    x = 802,833.25

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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.