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Finding the Third Proportional to 141,860.25 and 214,483.50

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Solution

The third proportional to 141,860.25 and 214,483.50 is: 324,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,860.25 : 214,483.50 = 214,483.50 : x
  2. Step 2: Convert to fraction form
    141,860.25/214,483.50 = 214,483.50/x
  3. Step 3: Cross multiply
    141,860.25x = 214,483.50 × 214,483.50
  4. Step 4: Simplify right side
    141,860.25x = 46,003,171,772.25
  5. Step 5: Solve for x
    x = 46,003,171,772.25/141,860.25
  6. Step 6: Final answer
    x = 324,285.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.