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Finding the Third Proportional to 213,714.94 and 338,411.34

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Solution

The third proportional to 213,714.94 and 338,411.34 is: 535,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,714.94 : 338,411.34 = 338,411.34 : x
  2. Step 2: Convert to fraction form
    213,714.94/338,411.34 = 338,411.34/x
  3. Step 3: Cross multiply
    213,714.94x = 338,411.34 × 338,411.34
  4. Step 4: Simplify right side
    213,714.94x = 114,522,237,578.68
  5. Step 5: Solve for x
    x = 114,522,237,578.68/213,714.94
  6. Step 6: Final answer
    x = 535,864.45

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