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Finding the Third Proportional to 236,384 and 354,742

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Solution

The third proportional to 236,384 and 354,742 is: 532,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,384 : 354,742 = 354,742 : x
  2. Step 2: Convert to fraction form
    236,384/354,742 = 354,742/x
  3. Step 3: Cross multiply
    236,384x = 354,742 × 354,742
  4. Step 4: Simplify right side
    236,384x = 125,841,886,564
  5. Step 5: Solve for x
    x = 125,841,886,564/236,384
  6. Step 6: Final answer
    x = 532,362.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.