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Finding the Third Proportional to 246,022.50 and 401,735.50

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Solution

The third proportional to 246,022.50 and 401,735.50 is: 656,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,022.50 : 401,735.50 = 401,735.50 : x
  2. Step 2: Convert to fraction form
    246,022.50/401,735.50 = 401,735.50/x
  3. Step 3: Cross multiply
    246,022.50x = 401,735.50 × 401,735.50
  4. Step 4: Simplify right side
    246,022.50x = 161,391,411,960.25
  5. Step 5: Solve for x
    x = 161,391,411,960.25/246,022.50
  6. Step 6: Final answer
    x = 656,002.65

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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.