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Finding the Third Proportional to 202,228 and 434,984

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Solution

The third proportional to 202,228 and 434,984 is: 935,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,228 : 434,984 = 434,984 : x
  2. Step 2: Convert to fraction form
    202,228/434,984 = 434,984/x
  3. Step 3: Cross multiply
    202,228x = 434,984 × 434,984
  4. Step 4: Simplify right side
    202,228x = 189,211,080,256
  5. Step 5: Solve for x
    x = 189,211,080,256/202,228
  6. Step 6: Final answer
    x = 935,632.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.