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Finding the Third Proportional to 197,656 and 435,632

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Solution

The third proportional to 197,656 and 435,632 is: 960,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,656 : 435,632 = 435,632 : x
  2. Step 2: Convert to fraction form
    197,656/435,632 = 435,632/x
  3. Step 3: Cross multiply
    197,656x = 435,632 × 435,632
  4. Step 4: Simplify right side
    197,656x = 189,775,239,424
  5. Step 5: Solve for x
    x = 189,775,239,424/197,656
  6. Step 6: Final answer
    x = 960,128.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.