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Finding the Third Proportional to 179,884 and 277,938

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Solution

The third proportional to 179,884 and 277,938 is: 429,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,884 : 277,938 = 277,938 : x
  2. Step 2: Convert to fraction form
    179,884/277,938 = 277,938/x
  3. Step 3: Cross multiply
    179,884x = 277,938 × 277,938
  4. Step 4: Simplify right side
    179,884x = 77,249,531,844
  5. Step 5: Solve for x
    x = 77,249,531,844/179,884
  6. Step 6: Final answer
    x = 429,440.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.