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Finding the Third Proportional to 177,504.75 and 380,229.75

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Solution

The third proportional to 177,504.75 and 380,229.75 is: 814,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,504.75 : 380,229.75 = 380,229.75 : x
  2. Step 2: Convert to fraction form
    177,504.75/380,229.75 = 380,229.75/x
  3. Step 3: Cross multiply
    177,504.75x = 380,229.75 × 380,229.75
  4. Step 4: Simplify right side
    177,504.75x = 144,574,662,785.06
  5. Step 5: Solve for x
    x = 144,574,662,785.06/177,504.75
  6. Step 6: Final answer
    x = 814,483.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.