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Finding the Third Proportional to 74,266.88 and 170,996.06

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Solution

The third proportional to 74,266.88 and 170,996.06 is: 393,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,266.88 : 170,996.06 = 170,996.06 : x
  2. Step 2: Convert to fraction form
    74,266.88/170,996.06 = 170,996.06/x
  3. Step 3: Cross multiply
    74,266.88x = 170,996.06 × 170,996.06
  4. Step 4: Simplify right side
    74,266.88x = 29,239,653,390.50
  5. Step 5: Solve for x
    x = 29,239,653,390.50/74,266.88
  6. Step 6: Final answer
    x = 393,710.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.