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Finding the Third Proportional to 218,330.44 and 338,914.13

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Solution

The third proportional to 218,330.44 and 338,914.13 is: 526,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,330.44 : 338,914.13 = 338,914.13 : x
  2. Step 2: Convert to fraction form
    218,330.44/338,914.13 = 338,914.13/x
  3. Step 3: Cross multiply
    218,330.44x = 338,914.13 × 338,914.13
  4. Step 4: Simplify right side
    218,330.44x = 114,862,784,124.52
  5. Step 5: Solve for x
    x = 114,862,784,124.52/218,330.44
  6. Step 6: Final answer
    x = 526,096.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.