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Finding the Third Proportional to 173,983 and 370,753

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Solution

The third proportional to 173,983 and 370,753 is: 790,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,983 : 370,753 = 370,753 : x
  2. Step 2: Convert to fraction form
    173,983/370,753 = 370,753/x
  3. Step 3: Cross multiply
    173,983x = 370,753 × 370,753
  4. Step 4: Simplify right side
    173,983x = 137,457,787,009
  5. Step 5: Solve for x
    x = 137,457,787,009/173,983
  6. Step 6: Final answer
    x = 790,064.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.