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Finding the Third Proportional to 238,180 and 521,000

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Solution

The third proportional to 238,180 and 521,000 is: 1,139,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,180 : 521,000 = 521,000 : x
  2. Step 2: Convert to fraction form
    238,180/521,000 = 521,000/x
  3. Step 3: Cross multiply
    238,180x = 521,000 × 521,000
  4. Step 4: Simplify right side
    238,180x = 271,441,000,000
  5. Step 5: Solve for x
    x = 271,441,000,000/238,180
  6. Step 6: Final answer
    x = 1,139,646.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.