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Finding the Third Proportional to 171,634.78 and 358,954.03

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Solution

The third proportional to 171,634.78 and 358,954.03 is: 750,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,634.78 : 358,954.03 = 358,954.03 : x
  2. Step 2: Convert to fraction form
    171,634.78/358,954.03 = 358,954.03/x
  3. Step 3: Cross multiply
    171,634.78x = 358,954.03 × 358,954.03
  4. Step 4: Simplify right side
    171,634.78x = 128,847,996,550.63
  5. Step 5: Solve for x
    x = 128,847,996,550.63/171,634.78
  6. Step 6: Final answer
    x = 750,710.29

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.