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Finding the Third Proportional to 222,886.69 and 338,590.13

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Solution

The third proportional to 222,886.69 and 338,590.13 is: 514,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,886.69 : 338,590.13 = 338,590.13 : x
  2. Step 2: Convert to fraction form
    222,886.69/338,590.13 = 338,590.13/x
  3. Step 3: Cross multiply
    222,886.69x = 338,590.13 × 338,590.13
  4. Step 4: Simplify right side
    222,886.69x = 114,643,272,747.52
  5. Step 5: Solve for x
    x = 114,643,272,747.52/222,886.69
  6. Step 6: Final answer
    x = 514,356.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.