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Finding the Third Proportional to 141,188.25 and 310,024.50

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Solution

The third proportional to 141,188.25 and 310,024.50 is: 680,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,188.25 : 310,024.50 = 310,024.50 : x
  2. Step 2: Convert to fraction form
    141,188.25/310,024.50 = 310,024.50/x
  3. Step 3: Cross multiply
    141,188.25x = 310,024.50 × 310,024.50
  4. Step 4: Simplify right side
    141,188.25x = 96,115,190,600.25
  5. Step 5: Solve for x
    x = 96,115,190,600.25/141,188.25
  6. Step 6: Final answer
    x = 680,759.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.