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Finding the Third Proportional to 177,764 and 285,407

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Solution

The third proportional to 177,764 and 285,407 is: 458,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,764 : 285,407 = 285,407 : x
  2. Step 2: Convert to fraction form
    177,764/285,407 = 285,407/x
  3. Step 3: Cross multiply
    177,764x = 285,407 × 285,407
  4. Step 4: Simplify right side
    177,764x = 81,457,155,649
  5. Step 5: Solve for x
    x = 81,457,155,649/177,764
  6. Step 6: Final answer
    x = 458,232.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.