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Finding the Third Proportional to 196,029 and 425,250

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Solution

The third proportional to 196,029 and 425,250 is: 922,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,029 : 425,250 = 425,250 : x
  2. Step 2: Convert to fraction form
    196,029/425,250 = 425,250/x
  3. Step 3: Cross multiply
    196,029x = 425,250 × 425,250
  4. Step 4: Simplify right side
    196,029x = 180,837,562,500
  5. Step 5: Solve for x
    x = 180,837,562,500/196,029
  6. Step 6: Final answer
    x = 922,504.13

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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.