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Finding the Third Proportional to 132,117 and 311,821.50

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Solution

The third proportional to 132,117 and 311,821.50 is: 735,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,117 : 311,821.50 = 311,821.50 : x
  2. Step 2: Convert to fraction form
    132,117/311,821.50 = 311,821.50/x
  3. Step 3: Cross multiply
    132,117x = 311,821.50 × 311,821.50
  4. Step 4: Simplify right side
    132,117x = 97,232,647,862.25
  5. Step 5: Solve for x
    x = 97,232,647,862.25/132,117
  6. Step 6: Final answer
    x = 735,958.64

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.