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Finding the Third Proportional to 175,622 and 385,390

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Solution

The third proportional to 175,622 and 385,390 is: 845,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,622 : 385,390 = 385,390 : x
  2. Step 2: Convert to fraction form
    175,622/385,390 = 385,390/x
  3. Step 3: Cross multiply
    175,622x = 385,390 × 385,390
  4. Step 4: Simplify right side
    175,622x = 148,525,452,100
  5. Step 5: Solve for x
    x = 148,525,452,100/175,622
  6. Step 6: Final answer
    x = 845,710.97

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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.