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Finding the Third Proportional to 188,176 and 275,352

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Solution

The third proportional to 188,176 and 275,352 is: 402,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,176 : 275,352 = 275,352 : x
  2. Step 2: Convert to fraction form
    188,176/275,352 = 275,352/x
  3. Step 3: Cross multiply
    188,176x = 275,352 × 275,352
  4. Step 4: Simplify right side
    188,176x = 75,818,723,904
  5. Step 5: Solve for x
    x = 75,818,723,904/188,176
  6. Step 6: Final answer
    x = 402,913.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.