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Finding the Third Proportional to 144,210 and 197,844

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Solution

The third proportional to 144,210 and 197,844 is: 271,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,210 : 197,844 = 197,844 : x
  2. Step 2: Convert to fraction form
    144,210/197,844 = 197,844/x
  3. Step 3: Cross multiply
    144,210x = 197,844 × 197,844
  4. Step 4: Simplify right side
    144,210x = 39,142,248,336
  5. Step 5: Solve for x
    x = 39,142,248,336/144,210
  6. Step 6: Final answer
    x = 271,425.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.