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Finding the Third Proportional to 175,916 and 384,091

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Solution

The third proportional to 175,916 and 384,091 is: 838,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,916 : 384,091 = 384,091 : x
  2. Step 2: Convert to fraction form
    175,916/384,091 = 384,091/x
  3. Step 3: Cross multiply
    175,916x = 384,091 × 384,091
  4. Step 4: Simplify right side
    175,916x = 147,525,896,281
  5. Step 5: Solve for x
    x = 147,525,896,281/175,916
  6. Step 6: Final answer
    x = 838,615.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.