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Finding the Third Proportional to 129,046 and 277,868

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Solution

The third proportional to 129,046 and 277,868 is: 598,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,046 : 277,868 = 277,868 : x
  2. Step 2: Convert to fraction form
    129,046/277,868 = 277,868/x
  3. Step 3: Cross multiply
    129,046x = 277,868 × 277,868
  4. Step 4: Simplify right side
    129,046x = 77,210,625,424
  5. Step 5: Solve for x
    x = 77,210,625,424/129,046
  6. Step 6: Final answer
    x = 598,318.63

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