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Finding the Third Proportional to 221,629.50 and 341,010

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Solution

The third proportional to 221,629.50 and 341,010 is: 524,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,629.50 : 341,010 = 341,010 : x
  2. Step 2: Convert to fraction form
    221,629.50/341,010 = 341,010/x
  3. Step 3: Cross multiply
    221,629.50x = 341,010 × 341,010
  4. Step 4: Simplify right side
    221,629.50x = 116,287,820,100
  5. Step 5: Solve for x
    x = 116,287,820,100/221,629.50
  6. Step 6: Final answer
    x = 524,694.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.