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Finding the Third Proportional to 146,943 and 320,526

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Solution

The third proportional to 146,943 and 320,526 is: 699,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,943 : 320,526 = 320,526 : x
  2. Step 2: Convert to fraction form
    146,943/320,526 = 320,526/x
  3. Step 3: Cross multiply
    146,943x = 320,526 × 320,526
  4. Step 4: Simplify right side
    146,943x = 102,736,916,676
  5. Step 5: Solve for x
    x = 102,736,916,676/146,943
  6. Step 6: Final answer
    x = 699,161.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.