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Finding the Third Proportional to 177,566 and 263,646

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Solution

The third proportional to 177,566 and 263,646 is: 391,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,566 : 263,646 = 263,646 : x
  2. Step 2: Convert to fraction form
    177,566/263,646 = 263,646/x
  3. Step 3: Cross multiply
    177,566x = 263,646 × 263,646
  4. Step 4: Simplify right side
    177,566x = 69,509,213,316
  5. Step 5: Solve for x
    x = 69,509,213,316/177,566
  6. Step 6: Final answer
    x = 391,455.65

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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.