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Finding the Third Proportional to 116,035 and 247,243

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Solution

The third proportional to 116,035 and 247,243 is: 526,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,035 : 247,243 = 247,243 : x
  2. Step 2: Convert to fraction form
    116,035/247,243 = 247,243/x
  3. Step 3: Cross multiply
    116,035x = 247,243 × 247,243
  4. Step 4: Simplify right side
    116,035x = 61,129,101,049
  5. Step 5: Solve for x
    x = 61,129,101,049/116,035
  6. Step 6: Final answer
    x = 526,816.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.