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Finding the Third Proportional to 196,280 and 425,752

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Solution

The third proportional to 196,280 and 425,752 is: 923,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,280 : 425,752 = 425,752 : x
  2. Step 2: Convert to fraction form
    196,280/425,752 = 425,752/x
  3. Step 3: Cross multiply
    196,280x = 425,752 × 425,752
  4. Step 4: Simplify right side
    196,280x = 181,264,765,504
  5. Step 5: Solve for x
    x = 181,264,765,504/196,280
  6. Step 6: Final answer
    x = 923,500.95

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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.