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Finding the Third Proportional to 176,199 and 268,429.50

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Solution

The third proportional to 176,199 and 268,429.50 is: 408,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,199 : 268,429.50 = 268,429.50 : x
  2. Step 2: Convert to fraction form
    176,199/268,429.50 = 268,429.50/x
  3. Step 3: Cross multiply
    176,199x = 268,429.50 × 268,429.50
  4. Step 4: Simplify right side
    176,199x = 72,054,396,470.25
  5. Step 5: Solve for x
    x = 72,054,396,470.25/176,199
  6. Step 6: Final answer
    x = 408,937.60

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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.