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Finding the Third Proportional to 150,916.50 and 204,230.50

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Solution

The third proportional to 150,916.50 and 204,230.50 is: 276,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,916.50 : 204,230.50 = 204,230.50 : x
  2. Step 2: Convert to fraction form
    150,916.50/204,230.50 = 204,230.50/x
  3. Step 3: Cross multiply
    150,916.50x = 204,230.50 × 204,230.50
  4. Step 4: Simplify right side
    150,916.50x = 41,710,097,130.25
  5. Step 5: Solve for x
    x = 41,710,097,130.25/150,916.50
  6. Step 6: Final answer
    x = 276,378.64

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Why These Related Problems?

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