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Finding the Third Proportional to 211,925.25 and 317,892.38

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Solution

The third proportional to 211,925.25 and 317,892.38 is: 476,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,925.25 : 317,892.38 = 317,892.38 : x
  2. Step 2: Convert to fraction form
    211,925.25/317,892.38 = 317,892.38/x
  3. Step 3: Cross multiply
    211,925.25x = 317,892.38 × 317,892.38
  4. Step 4: Simplify right side
    211,925.25x = 101,055,562,083.14
  5. Step 5: Solve for x
    x = 101,055,562,083.14/211,925.25
  6. Step 6: Final answer
    x = 476,845.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.