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Finding the Third Proportional to 176,994 and 383,526

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Solution

The third proportional to 176,994 and 383,526 is: 831,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,994 : 383,526 = 383,526 : x
  2. Step 2: Convert to fraction form
    176,994/383,526 = 383,526/x
  3. Step 3: Cross multiply
    176,994x = 383,526 × 383,526
  4. Step 4: Simplify right side
    176,994x = 147,092,192,676
  5. Step 5: Solve for x
    x = 147,092,192,676/176,994
  6. Step 6: Final answer
    x = 831,057.51

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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.