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Finding the Third Proportional to 144,984.94 and 221,783.06

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Solution

The third proportional to 144,984.94 and 221,783.06 is: 339,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,984.94 : 221,783.06 = 221,783.06 : x
  2. Step 2: Convert to fraction form
    144,984.94/221,783.06 = 221,783.06/x
  3. Step 3: Cross multiply
    144,984.94x = 221,783.06 × 221,783.06
  4. Step 4: Simplify right side
    144,984.94x = 49,187,726,811.88
  5. Step 5: Solve for x
    x = 49,187,726,811.88/144,984.94
  6. Step 6: Final answer
    x = 339,260.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.