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Finding the Third Proportional to 179,625 and 249,754

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Solution

The third proportional to 179,625 and 249,754 is: 347,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,625 : 249,754 = 249,754 : x
  2. Step 2: Convert to fraction form
    179,625/249,754 = 249,754/x
  3. Step 3: Cross multiply
    179,625x = 249,754 × 249,754
  4. Step 4: Simplify right side
    179,625x = 62,377,060,516
  5. Step 5: Solve for x
    x = 62,377,060,516/179,625
  6. Step 6: Final answer
    x = 347,262.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.