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Finding the Third Proportional to 178,854 and 285,777

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Solution

The third proportional to 178,854 and 285,777 is: 456,621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,854 : 285,777 = 285,777 : x
  2. Step 2: Convert to fraction form
    178,854/285,777 = 285,777/x
  3. Step 3: Cross multiply
    178,854x = 285,777 × 285,777
  4. Step 4: Simplify right side
    178,854x = 81,668,493,729
  5. Step 5: Solve for x
    x = 81,668,493,729/178,854
  6. Step 6: Final answer
    x = 456,621.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.