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Finding the Third Proportional to 182,556 and 392,076

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Solution

The third proportional to 182,556 and 392,076 is: 842,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,556 : 392,076 = 392,076 : x
  2. Step 2: Convert to fraction form
    182,556/392,076 = 392,076/x
  3. Step 3: Cross multiply
    182,556x = 392,076 × 392,076
  4. Step 4: Simplify right side
    182,556x = 153,723,589,776
  5. Step 5: Solve for x
    x = 153,723,589,776/182,556
  6. Step 6: Final answer
    x = 842,062.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.