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Finding the Third Proportional to 213,748.88 and 338,448.38

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Solution

The third proportional to 213,748.88 and 338,448.38 is: 535,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,748.88 : 338,448.38 = 338,448.38 : x
  2. Step 2: Convert to fraction form
    213,748.88/338,448.38 = 338,448.38/x
  3. Step 3: Cross multiply
    213,748.88x = 338,448.38 × 338,448.38
  4. Step 4: Simplify right side
    213,748.88x = 114,547,302,540.14
  5. Step 5: Solve for x
    x = 114,547,302,540.14/213,748.88
  6. Step 6: Final answer
    x = 535,896.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.