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Finding the Third Proportional to 179,043 and 242,302.50

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Solution

The third proportional to 179,043 and 242,302.50 is: 327,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,043 : 242,302.50 = 242,302.50 : x
  2. Step 2: Convert to fraction form
    179,043/242,302.50 = 242,302.50/x
  3. Step 3: Cross multiply
    179,043x = 242,302.50 × 242,302.50
  4. Step 4: Simplify right side
    179,043x = 58,710,501,506.25
  5. Step 5: Solve for x
    x = 58,710,501,506.25/179,043
  6. Step 6: Final answer
    x = 327,912.86

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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.