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Finding the Third Proportional to 295,390.13 and 325,842.75

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Solution

The third proportional to 295,390.13 and 325,842.75 is: 359,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,390.13 : 325,842.75 = 325,842.75 : x
  2. Step 2: Convert to fraction form
    295,390.13/325,842.75 = 325,842.75/x
  3. Step 3: Cross multiply
    295,390.13x = 325,842.75 × 325,842.75
  4. Step 4: Simplify right side
    295,390.13x = 106,173,497,727.56
  5. Step 5: Solve for x
    x = 106,173,497,727.56/295,390.13
  6. Step 6: Final answer
    x = 359,434.82

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.