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Finding the Third Proportional to 176,953 and 382,063

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Solution

The third proportional to 176,953 and 382,063 is: 824,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,953 : 382,063 = 382,063 : x
  2. Step 2: Convert to fraction form
    176,953/382,063 = 382,063/x
  3. Step 3: Cross multiply
    176,953x = 382,063 × 382,063
  4. Step 4: Simplify right side
    176,953x = 145,972,135,969
  5. Step 5: Solve for x
    x = 145,972,135,969/176,953
  6. Step 6: Final answer
    x = 824,920.38

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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.