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Finding the Third Proportional to 202,690.50 and 304,139.25

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Solution

The third proportional to 202,690.50 and 304,139.25 is: 456,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,690.50 : 304,139.25 = 304,139.25 : x
  2. Step 2: Convert to fraction form
    202,690.50/304,139.25 = 304,139.25/x
  3. Step 3: Cross multiply
    202,690.50x = 304,139.25 × 304,139.25
  4. Step 4: Simplify right side
    202,690.50x = 92,500,683,390.56
  5. Step 5: Solve for x
    x = 92,500,683,390.56/202,690.50
  6. Step 6: Final answer
    x = 456,364.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.