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Finding the Third Proportional to 116,826 and 245,316

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Solution

The third proportional to 116,826 and 245,316 is: 515,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,826 : 245,316 = 245,316 : x
  2. Step 2: Convert to fraction form
    116,826/245,316 = 245,316/x
  3. Step 3: Cross multiply
    116,826x = 245,316 × 245,316
  4. Step 4: Simplify right side
    116,826x = 60,179,939,856
  5. Step 5: Solve for x
    x = 60,179,939,856/116,826
  6. Step 6: Final answer
    x = 515,124.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.