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Finding the Third Proportional to 183,670 and 402,230

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Solution

The third proportional to 183,670 and 402,230 is: 880,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,670 : 402,230 = 402,230 : x
  2. Step 2: Convert to fraction form
    183,670/402,230 = 402,230/x
  3. Step 3: Cross multiply
    183,670x = 402,230 × 402,230
  4. Step 4: Simplify right side
    183,670x = 161,788,972,900
  5. Step 5: Solve for x
    x = 161,788,972,900/183,670
  6. Step 6: Final answer
    x = 880,867.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.