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Finding the Third Proportional to 173,869 and 366,730

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Solution

The third proportional to 173,869 and 366,730 is: 773,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,869 : 366,730 = 366,730 : x
  2. Step 2: Convert to fraction form
    173,869/366,730 = 366,730/x
  3. Step 3: Cross multiply
    173,869x = 366,730 × 366,730
  4. Step 4: Simplify right side
    173,869x = 134,490,892,900
  5. Step 5: Solve for x
    x = 134,490,892,900/173,869
  6. Step 6: Final answer
    x = 773,518.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.