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Finding the Third Proportional to 187,850 and 443,000

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Solution

The third proportional to 187,850 and 443,000 is: 1,044,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,850 : 443,000 = 443,000 : x
  2. Step 2: Convert to fraction form
    187,850/443,000 = 443,000/x
  3. Step 3: Cross multiply
    187,850x = 443,000 × 443,000
  4. Step 4: Simplify right side
    187,850x = 196,249,000,000
  5. Step 5: Solve for x
    x = 196,249,000,000/187,850
  6. Step 6: Final answer
    x = 1,044,711.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.