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Finding the Third Proportional to 164,020 and 245,174

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Solution

The third proportional to 164,020 and 245,174 is: 366,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,020 : 245,174 = 245,174 : x
  2. Step 2: Convert to fraction form
    164,020/245,174 = 245,174/x
  3. Step 3: Cross multiply
    164,020x = 245,174 × 245,174
  4. Step 4: Simplify right side
    164,020x = 60,110,290,276
  5. Step 5: Solve for x
    x = 60,110,290,276/164,020
  6. Step 6: Final answer
    x = 366,481.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.