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Finding the Third Proportional to 219,975.75 and 259,827.75

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Solution

The third proportional to 219,975.75 and 259,827.75 is: 306,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,975.75 : 259,827.75 = 259,827.75 : x
  2. Step 2: Convert to fraction form
    219,975.75/259,827.75 = 259,827.75/x
  3. Step 3: Cross multiply
    219,975.75x = 259,827.75 × 259,827.75
  4. Step 4: Simplify right side
    219,975.75x = 67,510,459,670.06
  5. Step 5: Solve for x
    x = 67,510,459,670.06/219,975.75
  6. Step 6: Final answer
    x = 306,899.55

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.