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Finding the Third Proportional to 86,595 and 186,342

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Solution

The third proportional to 86,595 and 186,342 is: 400,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,595 : 186,342 = 186,342 : x
  2. Step 2: Convert to fraction form
    86,595/186,342 = 186,342/x
  3. Step 3: Cross multiply
    86,595x = 186,342 × 186,342
  4. Step 4: Simplify right side
    86,595x = 34,723,340,964
  5. Step 5: Solve for x
    x = 34,723,340,964/86,595
  6. Step 6: Final answer
    x = 400,985.52

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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.