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Finding the Third Proportional to 183,414 and 401,818

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Solution

The third proportional to 183,414 and 401,818 is: 880,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,414 : 401,818 = 401,818 : x
  2. Step 2: Convert to fraction form
    183,414/401,818 = 401,818/x
  3. Step 3: Cross multiply
    183,414x = 401,818 × 401,818
  4. Step 4: Simplify right side
    183,414x = 161,457,705,124
  5. Step 5: Solve for x
    x = 161,457,705,124/183,414
  6. Step 6: Final answer
    x = 880,291.06

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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.