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Finding the Third Proportional to 173,963 and 370,707

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Solution

The third proportional to 173,963 and 370,707 is: 789,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,963 : 370,707 = 370,707 : x
  2. Step 2: Convert to fraction form
    173,963/370,707 = 370,707/x
  3. Step 3: Cross multiply
    173,963x = 370,707 × 370,707
  4. Step 4: Simplify right side
    173,963x = 137,423,679,849
  5. Step 5: Solve for x
    x = 137,423,679,849/173,963
  6. Step 6: Final answer
    x = 789,959.24

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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.