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Finding the Third Proportional to 167,134.50 and 258,906

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Solution

The third proportional to 167,134.50 and 258,906 is: 401,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,134.50 : 258,906 = 258,906 : x
  2. Step 2: Convert to fraction form
    167,134.50/258,906 = 258,906/x
  3. Step 3: Cross multiply
    167,134.50x = 258,906 × 258,906
  4. Step 4: Simplify right side
    167,134.50x = 67,032,316,836
  5. Step 5: Solve for x
    x = 67,032,316,836/167,134.50
  6. Step 6: Final answer
    x = 401,068.10

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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.