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Finding the Third Proportional to 197,108 and 432,388

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Solution

The third proportional to 197,108 and 432,388 is: 948,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,108 : 432,388 = 432,388 : x
  2. Step 2: Convert to fraction form
    197,108/432,388 = 432,388/x
  3. Step 3: Cross multiply
    197,108x = 432,388 × 432,388
  4. Step 4: Simplify right side
    197,108x = 186,959,382,544
  5. Step 5: Solve for x
    x = 186,959,382,544/197,108
  6. Step 6: Final answer
    x = 948,512.40

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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.