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Finding the Third Proportional to 177,564 and 263,643

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Solution

The third proportional to 177,564 and 263,643 is: 391,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,564 : 263,643 = 263,643 : x
  2. Step 2: Convert to fraction form
    177,564/263,643 = 263,643/x
  3. Step 3: Cross multiply
    177,564x = 263,643 × 263,643
  4. Step 4: Simplify right side
    177,564x = 69,507,631,449
  5. Step 5: Solve for x
    x = 69,507,631,449/177,564
  6. Step 6: Final answer
    x = 391,451.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.