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Finding the Third Proportional to 86,273 and 185,658

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Solution

The third proportional to 86,273 and 185,658 is: 399,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,273 : 185,658 = 185,658 : x
  2. Step 2: Convert to fraction form
    86,273/185,658 = 185,658/x
  3. Step 3: Cross multiply
    86,273x = 185,658 × 185,658
  4. Step 4: Simplify right side
    86,273x = 34,468,892,964
  5. Step 5: Solve for x
    x = 34,468,892,964/86,273
  6. Step 6: Final answer
    x = 399,532.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.