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Finding the Third Proportional to 196,925.06 and 421,871.06

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Solution

The third proportional to 196,925.06 and 421,871.06 is: 903,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,925.06 : 421,871.06 = 421,871.06 : x
  2. Step 2: Convert to fraction form
    196,925.06/421,871.06 = 421,871.06/x
  3. Step 3: Cross multiply
    196,925.06x = 421,871.06 × 421,871.06
  4. Step 4: Simplify right side
    196,925.06x = 177,975,193,374.88
  5. Step 5: Solve for x
    x = 177,975,193,374.88/196,925.06
  6. Step 6: Final answer
    x = 903,771.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.