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Finding the Third Proportional to 129,052 and 277,875

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Solution

The third proportional to 129,052 and 277,875 is: 598,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,052 : 277,875 = 277,875 : x
  2. Step 2: Convert to fraction form
    129,052/277,875 = 277,875/x
  3. Step 3: Cross multiply
    129,052x = 277,875 × 277,875
  4. Step 4: Simplify right side
    129,052x = 77,214,515,625
  5. Step 5: Solve for x
    x = 77,214,515,625/129,052
  6. Step 6: Final answer
    x = 598,320.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.