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Finding the Third Proportional to 237,051 and 335,416.50

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Solution

The third proportional to 237,051 and 335,416.50 is: 474,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,051 : 335,416.50 = 335,416.50 : x
  2. Step 2: Convert to fraction form
    237,051/335,416.50 = 335,416.50/x
  3. Step 3: Cross multiply
    237,051x = 335,416.50 × 335,416.50
  4. Step 4: Simplify right side
    237,051x = 112,504,228,472.25
  5. Step 5: Solve for x
    x = 112,504,228,472.25/237,051
  6. Step 6: Final answer
    x = 474,599.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.