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Finding the Third Proportional to 114,806 and 251,806

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Solution

The third proportional to 114,806 and 251,806 is: 552,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,806 : 251,806 = 251,806 : x
  2. Step 2: Convert to fraction form
    114,806/251,806 = 251,806/x
  3. Step 3: Cross multiply
    114,806x = 251,806 × 251,806
  4. Step 4: Simplify right side
    114,806x = 63,406,261,636
  5. Step 5: Solve for x
    x = 63,406,261,636/114,806
  6. Step 6: Final answer
    x = 552,290.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.