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Finding the Third Proportional to 230,390.16 and 505,066.85

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Solution

The third proportional to 230,390.16 and 505,066.85 is: 1,107,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,390.16 : 505,066.85 = 505,066.85 : x
  2. Step 2: Convert to fraction form
    230,390.16/505,066.85 = 505,066.85/x
  3. Step 3: Cross multiply
    230,390.16x = 505,066.85 × 505,066.85
  4. Step 4: Simplify right side
    230,390.16x = 255,092,524,547.26
  5. Step 5: Solve for x
    x = 255,092,524,547.26/230,390.16
  6. Step 6: Final answer
    x = 1,107,219.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.