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Finding the Third Proportional to 190,769.06 and 295,254.56

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Solution

The third proportional to 190,769.06 and 295,254.56 is: 456,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,769.06 : 295,254.56 = 295,254.56 : x
  2. Step 2: Convert to fraction form
    190,769.06/295,254.56 = 295,254.56/x
  3. Step 3: Cross multiply
    190,769.06x = 295,254.56 × 295,254.56
  4. Step 4: Simplify right side
    190,769.06x = 87,175,256,677.07
  5. Step 5: Solve for x
    x = 87,175,256,677.07/190,769.06
  6. Step 6: Final answer
    x = 456,967.47

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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.