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Finding the Third Proportional to 188,514.84 and 404,012.81

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Solution

The third proportional to 188,514.84 and 404,012.81 is: 865,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,514.84 : 404,012.81 = 404,012.81 : x
  2. Step 2: Convert to fraction form
    188,514.84/404,012.81 = 404,012.81/x
  3. Step 3: Cross multiply
    188,514.84x = 404,012.81 × 404,012.81
  4. Step 4: Simplify right side
    188,514.84x = 163,226,352,664.16
  5. Step 5: Solve for x
    x = 163,226,352,664.16/188,514.84
  6. Step 6: Final answer
    x = 865,854.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.