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Finding the Third Proportional to 174,952 and 381,570

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Solution

The third proportional to 174,952 and 381,570 is: 832,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,952 : 381,570 = 381,570 : x
  2. Step 2: Convert to fraction form
    174,952/381,570 = 381,570/x
  3. Step 3: Cross multiply
    174,952x = 381,570 × 381,570
  4. Step 4: Simplify right side
    174,952x = 145,595,664,900
  5. Step 5: Solve for x
    x = 145,595,664,900/174,952
  6. Step 6: Final answer
    x = 832,203.49

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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.