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Finding the Third Proportional to 160,716 and 380,755

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Solution

The third proportional to 160,716 and 380,755 is: 902,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,716 : 380,755 = 380,755 : x
  2. Step 2: Convert to fraction form
    160,716/380,755 = 380,755/x
  3. Step 3: Cross multiply
    160,716x = 380,755 × 380,755
  4. Step 4: Simplify right side
    160,716x = 144,974,370,025
  5. Step 5: Solve for x
    x = 144,974,370,025/160,716
  6. Step 6: Final answer
    x = 902,053.12

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.