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Finding the Third Proportional to 105,402 and 248,806

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Solution

The third proportional to 105,402 and 248,806 is: 587,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,402 : 248,806 = 248,806 : x
  2. Step 2: Convert to fraction form
    105,402/248,806 = 248,806/x
  3. Step 3: Cross multiply
    105,402x = 248,806 × 248,806
  4. Step 4: Simplify right side
    105,402x = 61,904,425,636
  5. Step 5: Solve for x
    x = 61,904,425,636/105,402
  6. Step 6: Final answer
    x = 587,317.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.