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Finding the Third Proportional to 196,231.50 and 423,830.25

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Solution

The third proportional to 196,231.50 and 423,830.25 is: 915,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,231.50 : 423,830.25 = 423,830.25 : x
  2. Step 2: Convert to fraction form
    196,231.50/423,830.25 = 423,830.25/x
  3. Step 3: Cross multiply
    196,231.50x = 423,830.25 × 423,830.25
  4. Step 4: Simplify right side
    196,231.50x = 179,632,080,815.06
  5. Step 5: Solve for x
    x = 179,632,080,815.06/196,231.50
  6. Step 6: Final answer
    x = 915,409.00

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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.