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Finding the Third Proportional to 116,500.50 and 254,952

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Solution

The third proportional to 116,500.50 and 254,952 is: 557,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,500.50 : 254,952 = 254,952 : x
  2. Step 2: Convert to fraction form
    116,500.50/254,952 = 254,952/x
  3. Step 3: Cross multiply
    116,500.50x = 254,952 × 254,952
  4. Step 4: Simplify right side
    116,500.50x = 65,000,522,304
  5. Step 5: Solve for x
    x = 65,000,522,304/116,500.50
  6. Step 6: Final answer
    x = 557,942.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.