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Finding the Third Proportional to 174,554 and 375,829

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Solution

The third proportional to 174,554 and 375,829 is: 809,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,554 : 375,829 = 375,829 : x
  2. Step 2: Convert to fraction form
    174,554/375,829 = 375,829/x
  3. Step 3: Cross multiply
    174,554x = 375,829 × 375,829
  4. Step 4: Simplify right side
    174,554x = 141,247,437,241
  5. Step 5: Solve for x
    x = 141,247,437,241/174,554
  6. Step 6: Final answer
    x = 809,190.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.