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Finding the Third Proportional to 182,810 and 407,630

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Solution

The third proportional to 182,810 and 407,630 is: 908,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,810 : 407,630 = 407,630 : x
  2. Step 2: Convert to fraction form
    182,810/407,630 = 407,630/x
  3. Step 3: Cross multiply
    182,810x = 407,630 × 407,630
  4. Step 4: Simplify right side
    182,810x = 166,162,216,900
  5. Step 5: Solve for x
    x = 166,162,216,900/182,810
  6. Step 6: Final answer
    x = 908,933.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.