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Finding the Third Proportional to 179,043.75 and 242,303.63

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Solution

The third proportional to 179,043.75 and 242,303.63 is: 327,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,043.75 : 242,303.63 = 242,303.63 : x
  2. Step 2: Convert to fraction form
    179,043.75/242,303.63 = 242,303.63/x
  3. Step 3: Cross multiply
    179,043.75x = 242,303.63 × 242,303.63
  4. Step 4: Simplify right side
    179,043.75x = 58,711,046,688.14
  5. Step 5: Solve for x
    x = 58,711,046,688.14/179,043.75
  6. Step 6: Final answer
    x = 327,914.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.