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Finding the Third Proportional to 179,715 and 268,018.50

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Solution

The third proportional to 179,715 and 268,018.50 is: 399,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,715 : 268,018.50 = 268,018.50 : x
  2. Step 2: Convert to fraction form
    179,715/268,018.50 = 268,018.50/x
  3. Step 3: Cross multiply
    179,715x = 268,018.50 × 268,018.50
  4. Step 4: Simplify right side
    179,715x = 71,833,916,342.25
  5. Step 5: Solve for x
    x = 71,833,916,342.25/179,715
  6. Step 6: Final answer
    x = 399,710.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.