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Finding the Third Proportional to 219,124 and 338,346

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Solution

The third proportional to 219,124 and 338,346 is: 522,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,124 : 338,346 = 338,346 : x
  2. Step 2: Convert to fraction form
    219,124/338,346 = 338,346/x
  3. Step 3: Cross multiply
    219,124x = 338,346 × 338,346
  4. Step 4: Simplify right side
    219,124x = 114,478,015,716
  5. Step 5: Solve for x
    x = 114,478,015,716/219,124
  6. Step 6: Final answer
    x = 522,434.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.