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Finding the Third Proportional to 176,299 and 380,650

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Solution

The third proportional to 176,299 and 380,650 is: 821,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,299 : 380,650 = 380,650 : x
  2. Step 2: Convert to fraction form
    176,299/380,650 = 380,650/x
  3. Step 3: Cross multiply
    176,299x = 380,650 × 380,650
  4. Step 4: Simplify right side
    176,299x = 144,894,422,500
  5. Step 5: Solve for x
    x = 144,894,422,500/176,299
  6. Step 6: Final answer
    x = 821,867.52

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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.