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Finding the Third Proportional to 173,965 and 370,712

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Solution

The third proportional to 173,965 and 370,712 is: 789,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,965 : 370,712 = 370,712 : x
  2. Step 2: Convert to fraction form
    173,965/370,712 = 370,712/x
  3. Step 3: Cross multiply
    173,965x = 370,712 × 370,712
  4. Step 4: Simplify right side
    173,965x = 137,427,386,944
  5. Step 5: Solve for x
    x = 137,427,386,944/173,965
  6. Step 6: Final answer
    x = 789,971.47

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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.