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Finding the Third Proportional to 236,442 and 361,733

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Solution

The third proportional to 236,442 and 361,733 is: 553,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,442 : 361,733 = 361,733 : x
  2. Step 2: Convert to fraction form
    236,442/361,733 = 361,733/x
  3. Step 3: Cross multiply
    236,442x = 361,733 × 361,733
  4. Step 4: Simplify right side
    236,442x = 130,850,763,289
  5. Step 5: Solve for x
    x = 130,850,763,289/236,442
  6. Step 6: Final answer
    x = 553,415.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.