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Finding the Third Proportional to 179,905 and 387,835

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Solution

The third proportional to 179,905 and 387,835 is: 836,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,905 : 387,835 = 387,835 : x
  2. Step 2: Convert to fraction form
    179,905/387,835 = 387,835/x
  3. Step 3: Cross multiply
    179,905x = 387,835 × 387,835
  4. Step 4: Simplify right side
    179,905x = 150,415,987,225
  5. Step 5: Solve for x
    x = 150,415,987,225/179,905
  6. Step 6: Final answer
    x = 836,085.64

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Why These Related Problems?

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