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Finding the Third Proportional to 196,507 and 421,030

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Solution

The third proportional to 196,507 and 421,030 is: 902,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,507 : 421,030 = 421,030 : x
  2. Step 2: Convert to fraction form
    196,507/421,030 = 421,030/x
  3. Step 3: Cross multiply
    196,507x = 421,030 × 421,030
  4. Step 4: Simplify right side
    196,507x = 177,266,260,900
  5. Step 5: Solve for x
    x = 177,266,260,900/196,507
  6. Step 6: Final answer
    x = 902,086.24

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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.