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Finding the Third Proportional to 194,083 and 424,372

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Solution

The third proportional to 194,083 and 424,372 is: 927,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,083 : 424,372 = 424,372 : x
  2. Step 2: Convert to fraction form
    194,083/424,372 = 424,372/x
  3. Step 3: Cross multiply
    194,083x = 424,372 × 424,372
  4. Step 4: Simplify right side
    194,083x = 180,091,594,384
  5. Step 5: Solve for x
    x = 180,091,594,384/194,083
  6. Step 6: Final answer
    x = 927,910.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.