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Finding the Third Proportional to 133,989.75 and 294,225.75

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Solution

The third proportional to 133,989.75 and 294,225.75 is: 646,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,989.75 : 294,225.75 = 294,225.75 : x
  2. Step 2: Convert to fraction form
    133,989.75/294,225.75 = 294,225.75/x
  3. Step 3: Cross multiply
    133,989.75x = 294,225.75 × 294,225.75
  4. Step 4: Simplify right side
    133,989.75x = 86,568,791,963.06
  5. Step 5: Solve for x
    x = 86,568,791,963.06/133,989.75
  6. Step 6: Final answer
    x = 646,085.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.