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Finding the Third Proportional to 196,038 and 425,272

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Solution

The third proportional to 196,038 and 425,272 is: 922,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,038 : 425,272 = 425,272 : x
  2. Step 2: Convert to fraction form
    196,038/425,272 = 425,272/x
  3. Step 3: Cross multiply
    196,038x = 425,272 × 425,272
  4. Step 4: Simplify right side
    196,038x = 180,856,273,984
  5. Step 5: Solve for x
    x = 180,856,273,984/196,038
  6. Step 6: Final answer
    x = 922,557.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.