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Finding the Third Proportional to 116,840 and 254,182.50

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Solution

The third proportional to 116,840 and 254,182.50 is: 552,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,840 : 254,182.50 = 254,182.50 : x
  2. Step 2: Convert to fraction form
    116,840/254,182.50 = 254,182.50/x
  3. Step 3: Cross multiply
    116,840x = 254,182.50 × 254,182.50
  4. Step 4: Simplify right side
    116,840x = 64,608,743,306.25
  5. Step 5: Solve for x
    x = 64,608,743,306.25/116,840
  6. Step 6: Final answer
    x = 552,967.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.