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Finding the Third Proportional to 176,978 and 382,106

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Solution

The third proportional to 176,978 and 382,106 is: 824,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,978 : 382,106 = 382,106 : x
  2. Step 2: Convert to fraction form
    176,978/382,106 = 382,106/x
  3. Step 3: Cross multiply
    176,978x = 382,106 × 382,106
  4. Step 4: Simplify right side
    176,978x = 146,004,995,236
  5. Step 5: Solve for x
    x = 146,004,995,236/176,978
  6. Step 6: Final answer
    x = 824,989.52

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