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Finding the Third Proportional to 145,708.89 and 313,561.15

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Solution

The third proportional to 145,708.89 and 313,561.15 is: 674,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,708.89 : 313,561.15 = 313,561.15 : x
  2. Step 2: Convert to fraction form
    145,708.89/313,561.15 = 313,561.15/x
  3. Step 3: Cross multiply
    145,708.89x = 313,561.15 × 313,561.15
  4. Step 4: Simplify right side
    145,708.89x = 98,320,597,713.66
  5. Step 5: Solve for x
    x = 98,320,597,713.66/145,708.89
  6. Step 6: Final answer
    x = 674,774.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.