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Finding the Third Proportional to 143,726 and 302,350

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Solution

The third proportional to 143,726 and 302,350 is: 636,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,726 : 302,350 = 302,350 : x
  2. Step 2: Convert to fraction form
    143,726/302,350 = 302,350/x
  3. Step 3: Cross multiply
    143,726x = 302,350 × 302,350
  4. Step 4: Simplify right side
    143,726x = 91,415,522,500
  5. Step 5: Solve for x
    x = 91,415,522,500/143,726
  6. Step 6: Final answer
    x = 636,040.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.