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Finding the Third Proportional to 182,827.13 and 268,950.38

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Solution

The third proportional to 182,827.13 and 268,950.38 is: 395,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,827.13 : 268,950.38 = 268,950.38 : x
  2. Step 2: Convert to fraction form
    182,827.13/268,950.38 = 268,950.38/x
  3. Step 3: Cross multiply
    182,827.13x = 268,950.38 × 268,950.38
  4. Step 4: Simplify right side
    182,827.13x = 72,334,304,212.64
  5. Step 5: Solve for x
    x = 72,334,304,212.64/182,827.13
  6. Step 6: Final answer
    x = 395,643.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.