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Finding the Third Proportional to 176,273 and 268,540.50

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Solution

The third proportional to 176,273 and 268,540.50 is: 409,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,273 : 268,540.50 = 268,540.50 : x
  2. Step 2: Convert to fraction form
    176,273/268,540.50 = 268,540.50/x
  3. Step 3: Cross multiply
    176,273x = 268,540.50 × 268,540.50
  4. Step 4: Simplify right side
    176,273x = 72,114,000,140.25
  5. Step 5: Solve for x
    x = 72,114,000,140.25/176,273
  6. Step 6: Final answer
    x = 409,104.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.