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Finding the Third Proportional to 161,121.75 and 353,228.25

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Solution

The third proportional to 161,121.75 and 353,228.25 is: 774,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,121.75 : 353,228.25 = 353,228.25 : x
  2. Step 2: Convert to fraction form
    161,121.75/353,228.25 = 353,228.25/x
  3. Step 3: Cross multiply
    161,121.75x = 353,228.25 × 353,228.25
  4. Step 4: Simplify right side
    161,121.75x = 124,770,196,598.06
  5. Step 5: Solve for x
    x = 124,770,196,598.06/161,121.75
  6. Step 6: Final answer
    x = 774,384.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.