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Finding the Third Proportional to 143,386.25 and 221,913.75

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Solution

The third proportional to 143,386.25 and 221,913.75 is: 343,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,386.25 : 221,913.75 = 221,913.75 : x
  2. Step 2: Convert to fraction form
    143,386.25/221,913.75 = 221,913.75/x
  3. Step 3: Cross multiply
    143,386.25x = 221,913.75 × 221,913.75
  4. Step 4: Simplify right side
    143,386.25x = 49,245,712,439.06
  5. Step 5: Solve for x
    x = 49,245,712,439.06/143,386.25
  6. Step 6: Final answer
    x = 343,447.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.