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Finding the Third Proportional to 145,162.13 and 313,287.75

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Solution

The third proportional to 145,162.13 and 313,287.75 is: 676,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162.13 : 313,287.75 = 313,287.75 : x
  2. Step 2: Convert to fraction form
    145,162.13/313,287.75 = 313,287.75/x
  3. Step 3: Cross multiply
    145,162.13x = 313,287.75 × 313,287.75
  4. Step 4: Simplify right side
    145,162.13x = 98,149,214,300.06
  5. Step 5: Solve for x
    x = 98,149,214,300.06/145,162.13
  6. Step 6: Final answer
    x = 676,135.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.