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Finding the Third Proportional to 237,489 and 355,047

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Solution

The third proportional to 237,489 and 355,047 is: 530,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,489 : 355,047 = 355,047 : x
  2. Step 2: Convert to fraction form
    237,489/355,047 = 355,047/x
  3. Step 3: Cross multiply
    237,489x = 355,047 × 355,047
  4. Step 4: Simplify right side
    237,489x = 126,058,372,209
  5. Step 5: Solve for x
    x = 126,058,372,209/237,489
  6. Step 6: Final answer
    x = 530,796.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.