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Finding the Third Proportional to 144,362.25 and 347,783.63

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Solution

The third proportional to 144,362.25 and 347,783.63 is: 837,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,362.25 : 347,783.63 = 347,783.63 : x
  2. Step 2: Convert to fraction form
    144,362.25/347,783.63 = 347,783.63/x
  3. Step 3: Cross multiply
    144,362.25x = 347,783.63 × 347,783.63
  4. Step 4: Simplify right side
    144,362.25x = 120,953,449,818.14
  5. Step 5: Solve for x
    x = 120,953,449,818.14/144,362.25
  6. Step 6: Final answer
    x = 837,846.80

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.