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Finding the Third Proportional to 116,690.25 and 254,497.38

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Solution

The third proportional to 116,690.25 and 254,497.38 is: 555,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,690.25 : 254,497.38 = 254,497.38 : x
  2. Step 2: Convert to fraction form
    116,690.25/254,497.38 = 254,497.38/x
  3. Step 3: Cross multiply
    116,690.25x = 254,497.38 × 254,497.38
  4. Step 4: Simplify right side
    116,690.25x = 64,768,913,881.89
  5. Step 5: Solve for x
    x = 64,768,913,881.89/116,690.25
  6. Step 6: Final answer
    x = 555,049.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.