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Finding the Third Proportional to 181,368 and 281,778

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Solution

The third proportional to 181,368 and 281,778 is: 437,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,368 : 281,778 = 281,778 : x
  2. Step 2: Convert to fraction form
    181,368/281,778 = 281,778/x
  3. Step 3: Cross multiply
    181,368x = 281,778 × 281,778
  4. Step 4: Simplify right side
    181,368x = 79,398,841,284
  5. Step 5: Solve for x
    x = 79,398,841,284/181,368
  6. Step 6: Final answer
    x = 437,777.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.