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Finding the Third Proportional to 177,116.63 and 205,907.06

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Solution

The third proportional to 177,116.63 and 205,907.06 is: 239,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,116.63 : 205,907.06 = 205,907.06 : x
  2. Step 2: Convert to fraction form
    177,116.63/205,907.06 = 205,907.06/x
  3. Step 3: Cross multiply
    177,116.63x = 205,907.06 × 205,907.06
  4. Step 4: Simplify right side
    177,116.63x = 42,397,718,387.38
  5. Step 5: Solve for x
    x = 42,397,718,387.38/177,116.63
  6. Step 6: Final answer
    x = 239,377.41

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.