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Finding the Third Proportional to 116,823 and 245,310

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Solution

The third proportional to 116,823 and 245,310 is: 515,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,823 : 245,310 = 245,310 : x
  2. Step 2: Convert to fraction form
    116,823/245,310 = 245,310/x
  3. Step 3: Cross multiply
    116,823x = 245,310 × 245,310
  4. Step 4: Simplify right side
    116,823x = 60,176,996,100
  5. Step 5: Solve for x
    x = 60,176,996,100/116,823
  6. Step 6: Final answer
    x = 515,112.57

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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.