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Finding the Third Proportional to 129,980 and 284,784

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Solution

The third proportional to 129,980 and 284,784 is: 623,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,980 : 284,784 = 284,784 : x
  2. Step 2: Convert to fraction form
    129,980/284,784 = 284,784/x
  3. Step 3: Cross multiply
    129,980x = 284,784 × 284,784
  4. Step 4: Simplify right side
    129,980x = 81,101,926,656
  5. Step 5: Solve for x
    x = 81,101,926,656/129,980
  6. Step 6: Final answer
    x = 623,956.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.