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Finding the Third Proportional to 175,763.25 and 363,980.25

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Solution

The third proportional to 175,763.25 and 363,980.25 is: 753,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,763.25 : 363,980.25 = 363,980.25 : x
  2. Step 2: Convert to fraction form
    175,763.25/363,980.25 = 363,980.25/x
  3. Step 3: Cross multiply
    175,763.25x = 363,980.25 × 363,980.25
  4. Step 4: Simplify right side
    175,763.25x = 132,481,622,390.06
  5. Step 5: Solve for x
    x = 132,481,622,390.06/175,763.25
  6. Step 6: Final answer
    x = 753,750.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.