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Finding the Third Proportional to 176,715 and 382,968

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Solution

The third proportional to 176,715 and 382,968 is: 829,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,715 : 382,968 = 382,968 : x
  2. Step 2: Convert to fraction form
    176,715/382,968 = 382,968/x
  3. Step 3: Cross multiply
    176,715x = 382,968 × 382,968
  4. Step 4: Simplify right side
    176,715x = 146,664,489,024
  5. Step 5: Solve for x
    x = 146,664,489,024/176,715
  6. Step 6: Final answer
    x = 829,949.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.