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Finding the Third Proportional to 146,071 and 306,901

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Solution

The third proportional to 146,071 and 306,901 is: 644,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,071 : 306,901 = 306,901 : x
  2. Step 2: Convert to fraction form
    146,071/306,901 = 306,901/x
  3. Step 3: Cross multiply
    146,071x = 306,901 × 306,901
  4. Step 4: Simplify right side
    146,071x = 94,188,223,801
  5. Step 5: Solve for x
    x = 94,188,223,801/146,071
  6. Step 6: Final answer
    x = 644,811.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.