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Finding the Third Proportional to 178,440 and 269,172

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Solution

The third proportional to 178,440 and 269,172 is: 406,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,440 : 269,172 = 269,172 : x
  2. Step 2: Convert to fraction form
    178,440/269,172 = 269,172/x
  3. Step 3: Cross multiply
    178,440x = 269,172 × 269,172
  4. Step 4: Simplify right side
    178,440x = 72,453,565,584
  5. Step 5: Solve for x
    x = 72,453,565,584/178,440
  6. Step 6: Final answer
    x = 406,038.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.