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Finding the Third Proportional to 116,437 and 175,333.50

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Solution

The third proportional to 116,437 and 175,333.50 is: 264,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,437 : 175,333.50 = 175,333.50 : x
  2. Step 2: Convert to fraction form
    116,437/175,333.50 = 175,333.50/x
  3. Step 3: Cross multiply
    116,437x = 175,333.50 × 175,333.50
  4. Step 4: Simplify right side
    116,437x = 30,741,836,222.25
  5. Step 5: Solve for x
    x = 30,741,836,222.25/116,437
  6. Step 6: Final answer
    x = 264,021.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.