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Finding the Third Proportional to 196,020 and 425,232

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Solution

The third proportional to 196,020 and 425,232 is: 922,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,020 : 425,232 = 425,232 : x
  2. Step 2: Convert to fraction form
    196,020/425,232 = 425,232/x
  3. Step 3: Cross multiply
    196,020x = 425,232 × 425,232
  4. Step 4: Simplify right side
    196,020x = 180,822,253,824
  5. Step 5: Solve for x
    x = 180,822,253,824/196,020
  6. Step 6: Final answer
    x = 922,468.39

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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.