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Finding the Third Proportional to 129,038 and 277,851

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Solution

The third proportional to 129,038 and 277,851 is: 598,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,038 : 277,851 = 277,851 : x
  2. Step 2: Convert to fraction form
    129,038/277,851 = 277,851/x
  3. Step 3: Cross multiply
    129,038x = 277,851 × 277,851
  4. Step 4: Simplify right side
    129,038x = 77,201,178,201
  5. Step 5: Solve for x
    x = 77,201,178,201/129,038
  6. Step 6: Final answer
    x = 598,282.51

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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.