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Finding the Third Proportional to 237,001 and 335,347

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Solution

The third proportional to 237,001 and 335,347 is: 474,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,001 : 335,347 = 335,347 : x
  2. Step 2: Convert to fraction form
    237,001/335,347 = 335,347/x
  3. Step 3: Cross multiply
    237,001x = 335,347 × 335,347
  4. Step 4: Simplify right side
    237,001x = 112,457,610,409
  5. Step 5: Solve for x
    x = 112,457,610,409/237,001
  6. Step 6: Final answer
    x = 474,502.68

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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.