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Finding the Third Proportional to 213,289.50 and 322,202.06

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Solution

The third proportional to 213,289.50 and 322,202.06 is: 486,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,289.50 : 322,202.06 = 322,202.06 : x
  2. Step 2: Convert to fraction form
    213,289.50/322,202.06 = 322,202.06/x
  3. Step 3: Cross multiply
    213,289.50x = 322,202.06 × 322,202.06
  4. Step 4: Simplify right side
    213,289.50x = 103,814,169,079.25
  5. Step 5: Solve for x
    x = 103,814,169,079.25/213,289.50
  6. Step 6: Final answer
    x = 486,728.93

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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.