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Finding the Third Proportional to 237,883 and 347,892

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Solution

The third proportional to 237,883 and 347,892 is: 508,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,883 : 347,892 = 347,892 : x
  2. Step 2: Convert to fraction form
    237,883/347,892 = 347,892/x
  3. Step 3: Cross multiply
    237,883x = 347,892 × 347,892
  4. Step 4: Simplify right side
    237,883x = 121,028,843,664
  5. Step 5: Solve for x
    x = 121,028,843,664/237,883
  6. Step 6: Final answer
    x = 508,774.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.