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Finding the Third Proportional to 236,461.50 and 354,933

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Solution

The third proportional to 236,461.50 and 354,933 is: 532,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,461.50 : 354,933 = 354,933 : x
  2. Step 2: Convert to fraction form
    236,461.50/354,933 = 354,933/x
  3. Step 3: Cross multiply
    236,461.50x = 354,933 × 354,933
  4. Step 4: Simplify right side
    236,461.50x = 125,977,434,489
  5. Step 5: Solve for x
    x = 125,977,434,489/236,461.50
  6. Step 6: Final answer
    x = 532,760.87

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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.