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Finding the Third Proportional to 175,190 and 384,292

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Solution

The third proportional to 175,190 and 384,292 is: 842,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,190 : 384,292 = 384,292 : x
  2. Step 2: Convert to fraction form
    175,190/384,292 = 384,292/x
  3. Step 3: Cross multiply
    175,190x = 384,292 × 384,292
  4. Step 4: Simplify right side
    175,190x = 147,680,341,264
  5. Step 5: Solve for x
    x = 147,680,341,264/175,190
  6. Step 6: Final answer
    x = 842,972.44

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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.