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Finding the Third Proportional to 145,950.21 and 313,726.65

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Solution

The third proportional to 145,950.21 and 313,726.65 is: 674,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,950.21 : 313,726.65 = 313,726.65 : x
  2. Step 2: Convert to fraction form
    145,950.21/313,726.65 = 313,726.65/x
  3. Step 3: Cross multiply
    145,950.21x = 313,726.65 × 313,726.65
  4. Step 4: Simplify right side
    145,950.21x = 98,424,407,795.20
  5. Step 5: Solve for x
    x = 98,424,407,795.20/145,950.21
  6. Step 6: Final answer
    x = 674,369.74

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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.