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Finding the Third Proportional to 175,549 and 377,739

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Solution

The third proportional to 175,549 and 377,739 is: 812,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,549 : 377,739 = 377,739 : x
  2. Step 2: Convert to fraction form
    175,549/377,739 = 377,739/x
  3. Step 3: Cross multiply
    175,549x = 377,739 × 377,739
  4. Step 4: Simplify right side
    175,549x = 142,686,752,121
  5. Step 5: Solve for x
    x = 142,686,752,121/175,549
  6. Step 6: Final answer
    x = 812,802.99

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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.