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Finding the Third Proportional to 221,758 and 347,473.50

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Solution

The third proportional to 221,758 and 347,473.50 is: 544,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,758 : 347,473.50 = 347,473.50 : x
  2. Step 2: Convert to fraction form
    221,758/347,473.50 = 347,473.50/x
  3. Step 3: Cross multiply
    221,758x = 347,473.50 × 347,473.50
  4. Step 4: Simplify right side
    221,758x = 120,737,833,202.25
  5. Step 5: Solve for x
    x = 120,737,833,202.25/221,758
  6. Step 6: Final answer
    x = 544,457.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.