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Finding the Third Proportional to 196,024 and 425,240

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Solution

The third proportional to 196,024 and 425,240 is: 922,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,024 : 425,240 = 425,240 : x
  2. Step 2: Convert to fraction form
    196,024/425,240 = 425,240/x
  3. Step 3: Cross multiply
    196,024x = 425,240 × 425,240
  4. Step 4: Simplify right side
    196,024x = 180,829,057,600
  5. Step 5: Solve for x
    x = 180,829,057,600/196,024
  6. Step 6: Final answer
    x = 922,484.28

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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.