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Finding the Third Proportional to 173,871 and 370,707.75

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Solution

The third proportional to 173,871 and 370,707.75 is: 790,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,871 : 370,707.75 = 370,707.75 : x
  2. Step 2: Convert to fraction form
    173,871/370,707.75 = 370,707.75/x
  3. Step 3: Cross multiply
    173,871x = 370,707.75 × 370,707.75
  4. Step 4: Simplify right side
    173,871x = 137,424,235,910.06
  5. Step 5: Solve for x
    x = 137,424,235,910.06/173,871
  6. Step 6: Final answer
    x = 790,380.43

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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.