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Finding the Third Proportional to 146,943 and 206,927.75

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Solution

The third proportional to 146,943 and 206,927.75 is: 291,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,943 : 206,927.75 = 206,927.75 : x
  2. Step 2: Convert to fraction form
    146,943/206,927.75 = 206,927.75/x
  3. Step 3: Cross multiply
    146,943x = 206,927.75 × 206,927.75
  4. Step 4: Simplify right side
    146,943x = 42,819,093,720.06
  5. Step 5: Solve for x
    x = 42,819,093,720.06/146,943
  6. Step 6: Final answer
    x = 291,399.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.