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Finding the Third Proportional to 236,000 and 513,468

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Solution

The third proportional to 236,000 and 513,468 is: 1,117,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,000 : 513,468 = 513,468 : x
  2. Step 2: Convert to fraction form
    236,000/513,468 = 513,468/x
  3. Step 3: Cross multiply
    236,000x = 513,468 × 513,468
  4. Step 4: Simplify right side
    236,000x = 263,649,387,024
  5. Step 5: Solve for x
    x = 263,649,387,024/236,000
  6. Step 6: Final answer
    x = 1,117,158.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.