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Finding the Third Proportional to 257,042 and 400,187

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Solution

The third proportional to 257,042 and 400,187 is: 623,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,042 : 400,187 = 400,187 : x
  2. Step 2: Convert to fraction form
    257,042/400,187 = 400,187/x
  3. Step 3: Cross multiply
    257,042x = 400,187 × 400,187
  4. Step 4: Simplify right side
    257,042x = 160,149,634,969
  5. Step 5: Solve for x
    x = 160,149,634,969/257,042
  6. Step 6: Final answer
    x = 623,048.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.