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Finding the Third Proportional to 108,786 and 170,833.50

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Solution

The third proportional to 108,786 and 170,833.50 is: 268,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,786 : 170,833.50 = 170,833.50 : x
  2. Step 2: Convert to fraction form
    108,786/170,833.50 = 170,833.50/x
  3. Step 3: Cross multiply
    108,786x = 170,833.50 × 170,833.50
  4. Step 4: Simplify right side
    108,786x = 29,184,084,722.25
  5. Step 5: Solve for x
    x = 29,184,084,722.25/108,786
  6. Step 6: Final answer
    x = 268,270.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.