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Finding the Third Proportional to 183,024 and 401,040

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Solution

The third proportional to 183,024 and 401,040 is: 878,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,024 : 401,040 = 401,040 : x
  2. Step 2: Convert to fraction form
    183,024/401,040 = 401,040/x
  3. Step 3: Cross multiply
    183,024x = 401,040 × 401,040
  4. Step 4: Simplify right side
    183,024x = 160,833,081,600
  5. Step 5: Solve for x
    x = 160,833,081,600/183,024
  6. Step 6: Final answer
    x = 878,754.05

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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.