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Finding the Third Proportional to 200,890.13 and 303,926.63

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Solution

The third proportional to 200,890.13 and 303,926.63 is: 459,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,890.13 : 303,926.63 = 303,926.63 : x
  2. Step 2: Convert to fraction form
    200,890.13/303,926.63 = 303,926.63/x
  3. Step 3: Cross multiply
    200,890.13x = 303,926.63 × 303,926.63
  4. Step 4: Simplify right side
    200,890.13x = 92,371,393,383.89
  5. Step 5: Solve for x
    x = 92,371,393,383.89/200,890.13
  6. Step 6: Final answer
    x = 459,810.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.