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Finding the Third Proportional to 237,054 and 335,421

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Solution

The third proportional to 237,054 and 335,421 is: 474,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,054 : 335,421 = 335,421 : x
  2. Step 2: Convert to fraction form
    237,054/335,421 = 335,421/x
  3. Step 3: Cross multiply
    237,054x = 335,421 × 335,421
  4. Step 4: Simplify right side
    237,054x = 112,507,247,241
  5. Step 5: Solve for x
    x = 112,507,247,241/237,054
  6. Step 6: Final answer
    x = 474,605.99

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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.