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Finding the Third Proportional to 176,302 and 380,656

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Solution

The third proportional to 176,302 and 380,656 is: 821,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,302 : 380,656 = 380,656 : x
  2. Step 2: Convert to fraction form
    176,302/380,656 = 380,656/x
  3. Step 3: Cross multiply
    176,302x = 380,656 × 380,656
  4. Step 4: Simplify right side
    176,302x = 144,898,990,336
  5. Step 5: Solve for x
    x = 144,898,990,336/176,302
  6. Step 6: Final answer
    x = 821,879.45

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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.