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Finding the Third Proportional to 185,250 and 399,300

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Solution

The third proportional to 185,250 and 399,300 is: 860,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,250 : 399,300 = 399,300 : x
  2. Step 2: Convert to fraction form
    185,250/399,300 = 399,300/x
  3. Step 3: Cross multiply
    185,250x = 399,300 × 399,300
  4. Step 4: Simplify right side
    185,250x = 159,440,490,000
  5. Step 5: Solve for x
    x = 159,440,490,000/185,250
  6. Step 6: Final answer
    x = 860,677.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.