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Finding the Third Proportional to 113,210 and 233,706

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Solution

The third proportional to 113,210 and 233,706 is: 482,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,210 : 233,706 = 233,706 : x
  2. Step 2: Convert to fraction form
    113,210/233,706 = 233,706/x
  3. Step 3: Cross multiply
    113,210x = 233,706 × 233,706
  4. Step 4: Simplify right side
    113,210x = 54,618,494,436
  5. Step 5: Solve for x
    x = 54,618,494,436/113,210
  6. Step 6: Final answer
    x = 482,452.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.