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Finding the Third Proportional to 139,916.25 and 299,776.50

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Solution

The third proportional to 139,916.25 and 299,776.50 is: 642,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,916.25 : 299,776.50 = 299,776.50 : x
  2. Step 2: Convert to fraction form
    139,916.25/299,776.50 = 299,776.50/x
  3. Step 3: Cross multiply
    139,916.25x = 299,776.50 × 299,776.50
  4. Step 4: Simplify right side
    139,916.25x = 89,865,949,952.25
  5. Step 5: Solve for x
    x = 89,865,949,952.25/139,916.25
  6. Step 6: Final answer
    x = 642,283.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.