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Finding the Third Proportional to 236,752 and 355,400

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Solution

The third proportional to 236,752 and 355,400 is: 533,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,752 : 355,400 = 355,400 : x
  2. Step 2: Convert to fraction form
    236,752/355,400 = 355,400/x
  3. Step 3: Cross multiply
    236,752x = 355,400 × 355,400
  4. Step 4: Simplify right side
    236,752x = 126,309,160,000
  5. Step 5: Solve for x
    x = 126,309,160,000/236,752
  6. Step 6: Final answer
    x = 533,508.31

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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.