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Finding the Third Proportional to 167,592 and 234,428.50

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Solution

The third proportional to 167,592 and 234,428.50 is: 327,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,592 : 234,428.50 = 234,428.50 : x
  2. Step 2: Convert to fraction form
    167,592/234,428.50 = 234,428.50/x
  3. Step 3: Cross multiply
    167,592x = 234,428.50 × 234,428.50
  4. Step 4: Simplify right side
    167,592x = 54,956,721,612.25
  5. Step 5: Solve for x
    x = 54,956,721,612.25/167,592
  6. Step 6: Final answer
    x = 327,919.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.