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Finding the Third Proportional to 140,032.13 and 303,692.63

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Solution

The third proportional to 140,032.13 and 303,692.63 is: 658,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,032.13 : 303,692.63 = 303,692.63 : x
  2. Step 2: Convert to fraction form
    140,032.13/303,692.63 = 303,692.63/x
  3. Step 3: Cross multiply
    140,032.13x = 303,692.63 × 303,692.63
  4. Step 4: Simplify right side
    140,032.13x = 92,229,210,479.39
  5. Step 5: Solve for x
    x = 92,229,210,479.39/140,032.13
  6. Step 6: Final answer
    x = 658,628.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.