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Finding the Third Proportional to 143,445.94 and 221,340.09

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Solution

The third proportional to 143,445.94 and 221,340.09 is: 341,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,445.94 : 221,340.09 = 221,340.09 : x
  2. Step 2: Convert to fraction form
    143,445.94/221,340.09 = 221,340.09/x
  3. Step 3: Cross multiply
    143,445.94x = 221,340.09 × 221,340.09
  4. Step 4: Simplify right side
    143,445.94x = 48,991,437,101.26
  5. Step 5: Solve for x
    x = 48,991,437,101.26/143,445.94
  6. Step 6: Final answer
    x = 341,532.41

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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.