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Finding the Third Proportional to 144,822.75 and 302,887.50

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Solution

The third proportional to 144,822.75 and 302,887.50 is: 633,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,822.75 : 302,887.50 = 302,887.50 : x
  2. Step 2: Convert to fraction form
    144,822.75/302,887.50 = 302,887.50/x
  3. Step 3: Cross multiply
    144,822.75x = 302,887.50 × 302,887.50
  4. Step 4: Simplify right side
    144,822.75x = 91,740,837,656.25
  5. Step 5: Solve for x
    x = 91,740,837,656.25/144,822.75
  6. Step 6: Final answer
    x = 633,469.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.