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Finding the Third Proportional to 175,827 and 275,620.50

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Solution

The third proportional to 175,827 and 275,620.50 is: 432,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,827 : 275,620.50 = 275,620.50 : x
  2. Step 2: Convert to fraction form
    175,827/275,620.50 = 275,620.50/x
  3. Step 3: Cross multiply
    175,827x = 275,620.50 × 275,620.50
  4. Step 4: Simplify right side
    175,827x = 75,966,660,020.25
  5. Step 5: Solve for x
    x = 75,966,660,020.25/175,827
  6. Step 6: Final answer
    x = 432,053.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.