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Finding the Third Proportional to 181,778 and 424,556

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Solution

The third proportional to 181,778 and 424,556 is: 991,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,778 : 424,556 = 424,556 : x
  2. Step 2: Convert to fraction form
    181,778/424,556 = 424,556/x
  3. Step 3: Cross multiply
    181,778x = 424,556 × 424,556
  4. Step 4: Simplify right side
    181,778x = 180,247,797,136
  5. Step 5: Solve for x
    x = 180,247,797,136/181,778
  6. Step 6: Final answer
    x = 991,582.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.