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Finding the Third Proportional to 129,834 and 182,430

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Solution

The third proportional to 129,834 and 182,430 is: 256,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,834 : 182,430 = 182,430 : x
  2. Step 2: Convert to fraction form
    129,834/182,430 = 182,430/x
  3. Step 3: Cross multiply
    129,834x = 182,430 × 182,430
  4. Step 4: Simplify right side
    129,834x = 33,280,704,900
  5. Step 5: Solve for x
    x = 33,280,704,900/129,834
  6. Step 6: Final answer
    x = 256,332.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.