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Finding the Third Proportional to 175,584 and 386,176

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Solution

The third proportional to 175,584 and 386,176 is: 849,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,584 : 386,176 = 386,176 : x
  2. Step 2: Convert to fraction form
    175,584/386,176 = 386,176/x
  3. Step 3: Cross multiply
    175,584x = 386,176 × 386,176
  4. Step 4: Simplify right side
    175,584x = 149,131,902,976
  5. Step 5: Solve for x
    x = 149,131,902,976/175,584
  6. Step 6: Final answer
    x = 849,347.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.