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Finding the Third Proportional to 144,822.75 and 315,390

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Solution

The third proportional to 144,822.75 and 315,390 is: 686,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,822.75 : 315,390 = 315,390 : x
  2. Step 2: Convert to fraction form
    144,822.75/315,390 = 315,390/x
  3. Step 3: Cross multiply
    144,822.75x = 315,390 × 315,390
  4. Step 4: Simplify right side
    144,822.75x = 99,470,852,100
  5. Step 5: Solve for x
    x = 99,470,852,100/144,822.75
  6. Step 6: Final answer
    x = 686,845.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.