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Finding the Third Proportional to 183,029 and 401,050

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Solution

The third proportional to 183,029 and 401,050 is: 878,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,029 : 401,050 = 401,050 : x
  2. Step 2: Convert to fraction form
    183,029/401,050 = 401,050/x
  3. Step 3: Cross multiply
    183,029x = 401,050 × 401,050
  4. Step 4: Simplify right side
    183,029x = 160,841,102,500
  5. Step 5: Solve for x
    x = 160,841,102,500/183,029
  6. Step 6: Final answer
    x = 878,773.87

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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.