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Finding the Third Proportional to 144,806 and 212,033

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Solution

The third proportional to 144,806 and 212,033 is: 310,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,806 : 212,033 = 212,033 : x
  2. Step 2: Convert to fraction form
    144,806/212,033 = 212,033/x
  3. Step 3: Cross multiply
    144,806x = 212,033 × 212,033
  4. Step 4: Simplify right side
    144,806x = 44,957,993,089
  5. Step 5: Solve for x
    x = 44,957,993,089/144,806
  6. Step 6: Final answer
    x = 310,470.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.