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Finding the Third Proportional to 196,230 and 423,818

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Solution

The third proportional to 196,230 and 423,818 is: 915,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,230 : 423,818 = 423,818 : x
  2. Step 2: Convert to fraction form
    196,230/423,818 = 423,818/x
  3. Step 3: Cross multiply
    196,230x = 423,818 × 423,818
  4. Step 4: Simplify right side
    196,230x = 179,621,697,124
  5. Step 5: Solve for x
    x = 179,621,697,124/196,230
  6. Step 6: Final answer
    x = 915,363.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.