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Finding the Third Proportional to 223,680.94 and 338,779.13

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Solution

The third proportional to 223,680.94 and 338,779.13 is: 513,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,680.94 : 338,779.13 = 338,779.13 : x
  2. Step 2: Convert to fraction form
    223,680.94/338,779.13 = 338,779.13/x
  3. Step 3: Cross multiply
    223,680.94x = 338,779.13 × 338,779.13
  4. Step 4: Simplify right side
    223,680.94x = 114,771,295,535.77
  5. Step 5: Solve for x
    x = 114,771,295,535.77/223,680.94
  6. Step 6: Final answer
    x = 513,102.71

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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.