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Finding the Third Proportional to 246,231 and 402,030

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Solution

The third proportional to 246,231 and 402,030 is: 656,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,231 : 402,030 = 402,030 : x
  2. Step 2: Convert to fraction form
    246,231/402,030 = 402,030/x
  3. Step 3: Cross multiply
    246,231x = 402,030 × 402,030
  4. Step 4: Simplify right side
    246,231x = 161,628,120,900
  5. Step 5: Solve for x
    x = 161,628,120,900/246,231
  6. Step 6: Final answer
    x = 656,408.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.