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Finding the Third Proportional to 192,012 and 296,038

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Solution

The third proportional to 192,012 and 296,038 is: 456,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,012 : 296,038 = 296,038 : x
  2. Step 2: Convert to fraction form
    192,012/296,038 = 296,038/x
  3. Step 3: Cross multiply
    192,012x = 296,038 × 296,038
  4. Step 4: Simplify right side
    192,012x = 87,638,497,444
  5. Step 5: Solve for x
    x = 87,638,497,444/192,012
  6. Step 6: Final answer
    x = 456,421.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.