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Finding the Third Proportional to 104,224.50 and 245,871

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Solution

The third proportional to 104,224.50 and 245,871 is: 580,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,224.50 : 245,871 = 245,871 : x
  2. Step 2: Convert to fraction form
    104,224.50/245,871 = 245,871/x
  3. Step 3: Cross multiply
    104,224.50x = 245,871 × 245,871
  4. Step 4: Simplify right side
    104,224.50x = 60,452,548,641
  5. Step 5: Solve for x
    x = 60,452,548,641/104,224.50
  6. Step 6: Final answer
    x = 580,022.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.