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Finding the Third Proportional to 176,289.75 and 380,629.13

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Solution

The third proportional to 176,289.75 and 380,629.13 is: 821,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,289.75 : 380,629.13 = 380,629.13 : x
  2. Step 2: Convert to fraction form
    176,289.75/380,629.13 = 380,629.13/x
  3. Step 3: Cross multiply
    176,289.75x = 380,629.13 × 380,629.13
  4. Step 4: Simplify right side
    176,289.75x = 144,878,530,798.27
  5. Step 5: Solve for x
    x = 144,878,530,798.27/176,289.75
  6. Step 6: Final answer
    x = 821,820.50

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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.