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Finding the Third Proportional to 108,321 and 167,398.50

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Solution

The third proportional to 108,321 and 167,398.50 is: 258,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,321 : 167,398.50 = 167,398.50 : x
  2. Step 2: Convert to fraction form
    108,321/167,398.50 = 167,398.50/x
  3. Step 3: Cross multiply
    108,321x = 167,398.50 × 167,398.50
  4. Step 4: Simplify right side
    108,321x = 28,022,257,802.25
  5. Step 5: Solve for x
    x = 28,022,257,802.25/108,321
  6. Step 6: Final answer
    x = 258,696.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.