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Finding the Third Proportional to 237,886 and 347,898

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Solution

The third proportional to 237,886 and 347,898 is: 508,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,886 : 347,898 = 347,898 : x
  2. Step 2: Convert to fraction form
    237,886/347,898 = 347,898/x
  3. Step 3: Cross multiply
    237,886x = 347,898 × 347,898
  4. Step 4: Simplify right side
    237,886x = 121,033,018,404
  5. Step 5: Solve for x
    x = 121,033,018,404/237,886
  6. Step 6: Final answer
    x = 508,785.80

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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.