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Finding the Third Proportional to 221,945 and 347,792.50

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Solution

The third proportional to 221,945 and 347,792.50 is: 544,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,945 : 347,792.50 = 347,792.50 : x
  2. Step 2: Convert to fraction form
    221,945/347,792.50 = 347,792.50/x
  3. Step 3: Cross multiply
    221,945x = 347,792.50 × 347,792.50
  4. Step 4: Simplify right side
    221,945x = 120,959,623,056.25
  5. Step 5: Solve for x
    x = 120,959,623,056.25/221,945
  6. Step 6: Final answer
    x = 544,998.19

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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.