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Finding the Third Proportional to 201,979.13 and 307,166.63

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Solution

The third proportional to 201,979.13 and 307,166.63 is: 467,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,979.13 : 307,166.63 = 307,166.63 : x
  2. Step 2: Convert to fraction form
    201,979.13/307,166.63 = 307,166.63/x
  3. Step 3: Cross multiply
    201,979.13x = 307,166.63 × 307,166.63
  4. Step 4: Simplify right side
    201,979.13x = 94,351,335,513.89
  5. Step 5: Solve for x
    x = 94,351,335,513.89/201,979.13
  6. Step 6: Final answer
    x = 467,134.09

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