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Finding the Third Proportional to 141,450.75 and 308,173.50

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Solution

The third proportional to 141,450.75 and 308,173.50 is: 671,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,450.75 : 308,173.50 = 308,173.50 : x
  2. Step 2: Convert to fraction form
    141,450.75/308,173.50 = 308,173.50/x
  3. Step 3: Cross multiply
    141,450.75x = 308,173.50 × 308,173.50
  4. Step 4: Simplify right side
    141,450.75x = 94,970,906,102.25
  5. Step 5: Solve for x
    x = 94,970,906,102.25/141,450.75
  6. Step 6: Final answer
    x = 671,406.17

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Why These Related Problems?

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