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Finding the Third Proportional to 145,934 and 238,269

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Solution

The third proportional to 145,934 and 238,269 is: 389,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,934 : 238,269 = 238,269 : x
  2. Step 2: Convert to fraction form
    145,934/238,269 = 238,269/x
  3. Step 3: Cross multiply
    145,934x = 238,269 × 238,269
  4. Step 4: Simplify right side
    145,934x = 56,772,116,361
  5. Step 5: Solve for x
    x = 56,772,116,361/145,934
  6. Step 6: Final answer
    x = 389,025.97

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.