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Finding the Third Proportional to 167,916.50 and 354,786

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Solution

The third proportional to 167,916.50 and 354,786 is: 749,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,916.50 : 354,786 = 354,786 : x
  2. Step 2: Convert to fraction form
    167,916.50/354,786 = 354,786/x
  3. Step 3: Cross multiply
    167,916.50x = 354,786 × 354,786
  4. Step 4: Simplify right side
    167,916.50x = 125,873,105,796
  5. Step 5: Solve for x
    x = 125,873,105,796/167,916.50
  6. Step 6: Final answer
    x = 749,617.25

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.