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Finding the Third Proportional to 174,285 and 377,877

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Solution

The third proportional to 174,285 and 377,877 is: 819,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,285 : 377,877 = 377,877 : x
  2. Step 2: Convert to fraction form
    174,285/377,877 = 377,877/x
  3. Step 3: Cross multiply
    174,285x = 377,877 × 377,877
  4. Step 4: Simplify right side
    174,285x = 142,791,027,129
  5. Step 5: Solve for x
    x = 142,791,027,129/174,285
  6. Step 6: Final answer
    x = 819,296.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.