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Finding the Third Proportional to 177,752 and 383,152

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Solution

The third proportional to 177,752 and 383,152 is: 825,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,752 : 383,152 = 383,152 : x
  2. Step 2: Convert to fraction form
    177,752/383,152 = 383,152/x
  3. Step 3: Cross multiply
    177,752x = 383,152 × 383,152
  4. Step 4: Simplify right side
    177,752x = 146,805,455,104
  5. Step 5: Solve for x
    x = 146,805,455,104/177,752
  6. Step 6: Final answer
    x = 825,900.44

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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.