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Finding the Third Proportional to 182,784 and 400,881

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Solution

The third proportional to 182,784 and 400,881 is: 879,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,784 : 400,881 = 400,881 : x
  2. Step 2: Convert to fraction form
    182,784/400,881 = 400,881/x
  3. Step 3: Cross multiply
    182,784x = 400,881 × 400,881
  4. Step 4: Simplify right side
    182,784x = 160,705,576,161
  5. Step 5: Solve for x
    x = 160,705,576,161/182,784
  6. Step 6: Final answer
    x = 879,210.30

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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.