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Finding the Third Proportional to 129,816 and 200,784

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Solution

The third proportional to 129,816 and 200,784 is: 310,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,816 : 200,784 = 200,784 : x
  2. Step 2: Convert to fraction form
    129,816/200,784 = 200,784/x
  3. Step 3: Cross multiply
    129,816x = 200,784 × 200,784
  4. Step 4: Simplify right side
    129,816x = 40,314,214,656
  5. Step 5: Solve for x
    x = 40,314,214,656/129,816
  6. Step 6: Final answer
    x = 310,548.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.