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Finding the Third Proportional to 133,929 and 202,621.50

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Solution

The third proportional to 133,929 and 202,621.50 is: 306,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,929 : 202,621.50 = 202,621.50 : x
  2. Step 2: Convert to fraction form
    133,929/202,621.50 = 202,621.50/x
  3. Step 3: Cross multiply
    133,929x = 202,621.50 × 202,621.50
  4. Step 4: Simplify right side
    133,929x = 41,055,472,262.25
  5. Step 5: Solve for x
    x = 41,055,472,262.25/133,929
  6. Step 6: Final answer
    x = 306,546.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.