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Finding the Third Proportional to 190,238 and 294,973

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Solution

The third proportional to 190,238 and 294,973 is: 457,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,238 : 294,973 = 294,973 : x
  2. Step 2: Convert to fraction form
    190,238/294,973 = 294,973/x
  3. Step 3: Cross multiply
    190,238x = 294,973 × 294,973
  4. Step 4: Simplify right side
    190,238x = 87,009,070,729
  5. Step 5: Solve for x
    x = 87,009,070,729/190,238
  6. Step 6: Final answer
    x = 457,369.56

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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.