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Finding the Third Proportional to 193,288 and 294,931

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Solution

The third proportional to 193,288 and 294,931 is: 450,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,288 : 294,931 = 294,931 : x
  2. Step 2: Convert to fraction form
    193,288/294,931 = 294,931/x
  3. Step 3: Cross multiply
    193,288x = 294,931 × 294,931
  4. Step 4: Simplify right side
    193,288x = 86,984,294,761
  5. Step 5: Solve for x
    x = 86,984,294,761/193,288
  6. Step 6: Final answer
    x = 450,024.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.