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Finding the Third Proportional to 181,354 and 285,943

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Solution

The third proportional to 181,354 and 285,943 is: 450,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,354 : 285,943 = 285,943 : x
  2. Step 2: Convert to fraction form
    181,354/285,943 = 285,943/x
  3. Step 3: Cross multiply
    181,354x = 285,943 × 285,943
  4. Step 4: Simplify right side
    181,354x = 81,763,399,249
  5. Step 5: Solve for x
    x = 81,763,399,249/181,354
  6. Step 6: Final answer
    x = 450,849.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.