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Finding the Third Proportional to 148,553 and 325,177

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Solution

The third proportional to 148,553 and 325,177 is: 711,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,553 : 325,177 = 325,177 : x
  2. Step 2: Convert to fraction form
    148,553/325,177 = 325,177/x
  3. Step 3: Cross multiply
    148,553x = 325,177 × 325,177
  4. Step 4: Simplify right side
    148,553x = 105,740,081,329
  5. Step 5: Solve for x
    x = 105,740,081,329/148,553
  6. Step 6: Final answer
    x = 711,800.38

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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.