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Finding the Third Proportional to 200,259.84 and 300,429.84

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Solution

The third proportional to 200,259.84 and 300,429.84 is: 450,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,259.84 : 300,429.84 = 300,429.84 : x
  2. Step 2: Convert to fraction form
    200,259.84/300,429.84 = 300,429.84/x
  3. Step 3: Cross multiply
    200,259.84x = 300,429.84 × 300,429.84
  4. Step 4: Simplify right side
    200,259.84x = 90,258,091,015.65
  5. Step 5: Solve for x
    x = 90,258,091,015.65/200,259.84
  6. Step 6: Final answer
    x = 450,704.89

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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.