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Finding the Third Proportional to 219,186 and 338,013

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Solution

The third proportional to 219,186 and 338,013 is: 521,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,186 : 338,013 = 338,013 : x
  2. Step 2: Convert to fraction form
    219,186/338,013 = 338,013/x
  3. Step 3: Cross multiply
    219,186x = 338,013 × 338,013
  4. Step 4: Simplify right side
    219,186x = 114,252,788,169
  5. Step 5: Solve for x
    x = 114,252,788,169/219,186
  6. Step 6: Final answer
    x = 521,259.52

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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.