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Finding the Third Proportional to 223,677.70 and 338,774.27

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Solution

The third proportional to 223,677.70 and 338,774.27 is: 513,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,677.70 : 338,774.27 = 338,774.27 : x
  2. Step 2: Convert to fraction form
    223,677.70/338,774.27 = 338,774.27/x
  3. Step 3: Cross multiply
    223,677.70x = 338,774.27 × 338,774.27
  4. Step 4: Simplify right side
    223,677.70x = 114,768,008,343.11
  5. Step 5: Solve for x
    x = 114,768,008,343.11/223,677.70
  6. Step 6: Final answer
    x = 513,095.43

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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.