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Finding the Third Proportional to 190,860.75 and 295,677

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Solution

The third proportional to 190,860.75 and 295,677 is: 458,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,860.75 : 295,677 = 295,677 : x
  2. Step 2: Convert to fraction form
    190,860.75/295,677 = 295,677/x
  3. Step 3: Cross multiply
    190,860.75x = 295,677 × 295,677
  4. Step 4: Simplify right side
    190,860.75x = 87,424,888,329
  5. Step 5: Solve for x
    x = 87,424,888,329/190,860.75
  6. Step 6: Final answer
    x = 458,055.88

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Why These Related Problems?

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