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Finding the Third Proportional to 181,372 and 285,970

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Solution

The third proportional to 181,372 and 285,970 is: 450,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,372 : 285,970 = 285,970 : x
  2. Step 2: Convert to fraction form
    181,372/285,970 = 285,970/x
  3. Step 3: Cross multiply
    181,372x = 285,970 × 285,970
  4. Step 4: Simplify right side
    181,372x = 81,778,840,900
  5. Step 5: Solve for x
    x = 81,778,840,900/181,372
  6. Step 6: Final answer
    x = 450,890.11

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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.