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Finding the Third Proportional to 113,742 and 265,806

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Solution

The third proportional to 113,742 and 265,806 is: 621,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,742 : 265,806 = 265,806 : x
  2. Step 2: Convert to fraction form
    113,742/265,806 = 265,806/x
  3. Step 3: Cross multiply
    113,742x = 265,806 × 265,806
  4. Step 4: Simplify right side
    113,742x = 70,652,829,636
  5. Step 5: Solve for x
    x = 70,652,829,636/113,742
  6. Step 6: Final answer
    x = 621,167.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.