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Finding the Third Proportional to 190,903.50 and 376,986

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Solution

The third proportional to 190,903.50 and 376,986 is: 744,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,903.50 : 376,986 = 376,986 : x
  2. Step 2: Convert to fraction form
    190,903.50/376,986 = 376,986/x
  3. Step 3: Cross multiply
    190,903.50x = 376,986 × 376,986
  4. Step 4: Simplify right side
    190,903.50x = 142,118,444,196
  5. Step 5: Solve for x
    x = 142,118,444,196/190,903.50
  6. Step 6: Final answer
    x = 744,451.75

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.