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Finding the Third Proportional to 144,822.75 and 302,887.13

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Solution

The third proportional to 144,822.75 and 302,887.13 is: 633,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,822.75 : 302,887.13 = 302,887.13 : x
  2. Step 2: Convert to fraction form
    144,822.75/302,887.13 = 302,887.13/x
  3. Step 3: Cross multiply
    144,822.75x = 302,887.13 × 302,887.13
  4. Step 4: Simplify right side
    144,822.75x = 91,740,610,490.77
  5. Step 5: Solve for x
    x = 91,740,610,490.77/144,822.75
  6. Step 6: Final answer
    x = 633,468.23

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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.