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Finding the Third Proportional to 200,259.88 and 300,429.69

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Solution

The third proportional to 200,259.88 and 300,429.69 is: 450,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,259.88 : 300,429.69 = 300,429.69 : x
  2. Step 2: Convert to fraction form
    200,259.88/300,429.69 = 300,429.69/x
  3. Step 3: Cross multiply
    200,259.88x = 300,429.69 × 300,429.69
  4. Step 4: Simplify right side
    200,259.88x = 90,257,997,131.35
  5. Step 5: Solve for x
    x = 90,257,997,131.35/200,259.88
  6. Step 6: Final answer
    x = 450,704.35

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