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Finding the Third Proportional to 149,558.06 and 221,988.94

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Solution

The third proportional to 149,558.06 and 221,988.94 is: 329,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,558.06 : 221,988.94 = 221,988.94 : x
  2. Step 2: Convert to fraction form
    149,558.06/221,988.94 = 221,988.94/x
  3. Step 3: Cross multiply
    149,558.06x = 221,988.94 × 221,988.94
  4. Step 4: Simplify right side
    149,558.06x = 49,279,088,372.38
  5. Step 5: Solve for x
    x = 49,279,088,372.38/149,558.06
  6. Step 6: Final answer
    x = 329,498.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.