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Finding the Third Proportional to 176,032 and 380,123

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Solution

The third proportional to 176,032 and 380,123 is: 820,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,032 : 380,123 = 380,123 : x
  2. Step 2: Convert to fraction form
    176,032/380,123 = 380,123/x
  3. Step 3: Cross multiply
    176,032x = 380,123 × 380,123
  4. Step 4: Simplify right side
    176,032x = 144,493,495,129
  5. Step 5: Solve for x
    x = 144,493,495,129/176,032
  6. Step 6: Final answer
    x = 820,836.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.