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Finding the Third Proportional to 173,281 and 379,176

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Solution

The third proportional to 173,281 and 379,176 is: 829,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,281 : 379,176 = 379,176 : x
  2. Step 2: Convert to fraction form
    173,281/379,176 = 379,176/x
  3. Step 3: Cross multiply
    173,281x = 379,176 × 379,176
  4. Step 4: Simplify right side
    173,281x = 143,774,438,976
  5. Step 5: Solve for x
    x = 143,774,438,976/173,281
  6. Step 6: Final answer
    x = 829,718.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.