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Finding the Third Proportional to 133,841 and 287,148.50

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Solution

The third proportional to 133,841 and 287,148.50 is: 616,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,841 : 287,148.50 = 287,148.50 : x
  2. Step 2: Convert to fraction form
    133,841/287,148.50 = 287,148.50/x
  3. Step 3: Cross multiply
    133,841x = 287,148.50 × 287,148.50
  4. Step 4: Simplify right side
    133,841x = 82,454,261,052.25
  5. Step 5: Solve for x
    x = 82,454,261,052.25/133,841
  6. Step 6: Final answer
    x = 616,061.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.