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Finding the Third Proportional to 190,436.06 and 289,392.75

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Solution

The third proportional to 190,436.06 and 289,392.75 is: 439,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,436.06 : 289,392.75 = 289,392.75 : x
  2. Step 2: Convert to fraction form
    190,436.06/289,392.75 = 289,392.75/x
  3. Step 3: Cross multiply
    190,436.06x = 289,392.75 × 289,392.75
  4. Step 4: Simplify right side
    190,436.06x = 83,748,163,752.56
  5. Step 5: Solve for x
    x = 83,748,163,752.56/190,436.06
  6. Step 6: Final answer
    x = 439,770.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.