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Finding the Third Proportional to 237,888 and 347,901

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Solution

The third proportional to 237,888 and 347,901 is: 508,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,888 : 347,901 = 347,901 : x
  2. Step 2: Convert to fraction form
    237,888/347,901 = 347,901/x
  3. Step 3: Cross multiply
    237,888x = 347,901 × 347,901
  4. Step 4: Simplify right side
    237,888x = 121,035,105,801
  5. Step 5: Solve for x
    x = 121,035,105,801/237,888
  6. Step 6: Final answer
    x = 508,790.30

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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.