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Finding the Third Proportional to 233,397.70 and 475,361.16

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Solution

The third proportional to 233,397.70 and 475,361.16 is: 968,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,397.70 : 475,361.16 = 475,361.16 : x
  2. Step 2: Convert to fraction form
    233,397.70/475,361.16 = 475,361.16/x
  3. Step 3: Cross multiply
    233,397.70x = 475,361.16 × 475,361.16
  4. Step 4: Simplify right side
    233,397.70x = 225,968,228,871.34
  5. Step 5: Solve for x
    x = 225,968,228,871.34/233,397.70
  6. Step 6: Final answer
    x = 968,168.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.