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Finding the Third Proportional to 190,194.75 and 294,343.88

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Solution

The third proportional to 190,194.75 and 294,343.88 is: 455,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,194.75 : 294,343.88 = 294,343.88 : x
  2. Step 2: Convert to fraction form
    190,194.75/294,343.88 = 294,343.88/x
  3. Step 3: Cross multiply
    190,194.75x = 294,343.88 × 294,343.88
  4. Step 4: Simplify right side
    190,194.75x = 86,638,316,750.02
  5. Step 5: Solve for x
    x = 86,638,316,750.02/190,194.75
  6. Step 6: Final answer
    x = 455,524.23

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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.