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Finding the Third Proportional to 190,925 and 288,800

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Solution

The third proportional to 190,925 and 288,800 is: 436,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,925 : 288,800 = 288,800 : x
  2. Step 2: Convert to fraction form
    190,925/288,800 = 288,800/x
  3. Step 3: Cross multiply
    190,925x = 288,800 × 288,800
  4. Step 4: Simplify right side
    190,925x = 83,405,440,000
  5. Step 5: Solve for x
    x = 83,405,440,000/190,925
  6. Step 6: Final answer
    x = 436,849.23

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Why These Related Problems?

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