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Finding the Third Proportional to 176,281.75 and 380,615

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Solution

The third proportional to 176,281.75 and 380,615 is: 821,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,281.75 : 380,615 = 380,615 : x
  2. Step 2: Convert to fraction form
    176,281.75/380,615 = 380,615/x
  3. Step 3: Cross multiply
    176,281.75x = 380,615 × 380,615
  4. Step 4: Simplify right side
    176,281.75x = 144,867,778,225
  5. Step 5: Solve for x
    x = 144,867,778,225/176,281.75
  6. Step 6: Final answer
    x = 821,796.80

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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.