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Finding the Third Proportional to 182,040 and 284,950

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Solution

The third proportional to 182,040 and 284,950 is: 446,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,040 : 284,950 = 284,950 : x
  2. Step 2: Convert to fraction form
    182,040/284,950 = 284,950/x
  3. Step 3: Cross multiply
    182,040x = 284,950 × 284,950
  4. Step 4: Simplify right side
    182,040x = 81,196,502,500
  5. Step 5: Solve for x
    x = 81,196,502,500/182,040
  6. Step 6: Final answer
    x = 446,036.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.