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Finding the Third Proportional to 122,403.66 and 221,741.30

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Solution

The third proportional to 122,403.66 and 221,741.30 is: 401,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,403.66 : 221,741.30 = 221,741.30 : x
  2. Step 2: Convert to fraction form
    122,403.66/221,741.30 = 221,741.30/x
  3. Step 3: Cross multiply
    122,403.66x = 221,741.30 × 221,741.30
  4. Step 4: Simplify right side
    122,403.66x = 49,169,202,739.81
  5. Step 5: Solve for x
    x = 49,169,202,739.81/122,403.66
  6. Step 6: Final answer
    x = 401,697.17

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.