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Finding the Third Proportional to 236,518 and 355,013

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Solution

The third proportional to 236,518 and 355,013 is: 532,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,518 : 355,013 = 355,013 : x
  2. Step 2: Convert to fraction form
    236,518/355,013 = 355,013/x
  3. Step 3: Cross multiply
    236,518x = 355,013 × 355,013
  4. Step 4: Simplify right side
    236,518x = 126,034,230,169
  5. Step 5: Solve for x
    x = 126,034,230,169/236,518
  6. Step 6: Final answer
    x = 532,873.74

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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.