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Finding the Third Proportional to 168,433.13 and 364,904.91

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Solution

The third proportional to 168,433.13 and 364,904.91 is: 790,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,433.13 : 364,904.91 = 364,904.91 : x
  2. Step 2: Convert to fraction form
    168,433.13/364,904.91 = 364,904.91/x
  3. Step 3: Cross multiply
    168,433.13x = 364,904.91 × 364,904.91
  4. Step 4: Simplify right side
    168,433.13x = 133,155,590,605.32
  5. Step 5: Solve for x
    x = 133,155,590,605.32/168,433.13
  6. Step 6: Final answer
    x = 790,554.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.