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Finding the Third Proportional to 176,686 and 383,482

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Solution

The third proportional to 176,686 and 383,482 is: 832,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,686 : 383,482 = 383,482 : x
  2. Step 2: Convert to fraction form
    176,686/383,482 = 383,482/x
  3. Step 3: Cross multiply
    176,686x = 383,482 × 383,482
  4. Step 4: Simplify right side
    176,686x = 147,058,444,324
  5. Step 5: Solve for x
    x = 147,058,444,324/176,686
  6. Step 6: Final answer
    x = 832,315.21

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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.