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Finding the Third Proportional to 197,634 and 432,174

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Solution

The third proportional to 197,634 and 432,174 is: 945,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,634 : 432,174 = 432,174 : x
  2. Step 2: Convert to fraction form
    197,634/432,174 = 432,174/x
  3. Step 3: Cross multiply
    197,634x = 432,174 × 432,174
  4. Step 4: Simplify right side
    197,634x = 186,774,366,276
  5. Step 5: Solve for x
    x = 186,774,366,276/197,634
  6. Step 6: Final answer
    x = 945,051.79

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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.