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Finding the Third Proportional to 128,757 and 277,386

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Solution

The third proportional to 128,757 and 277,386 is: 597,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,757 : 277,386 = 277,386 : x
  2. Step 2: Convert to fraction form
    128,757/277,386 = 277,386/x
  3. Step 3: Cross multiply
    128,757x = 277,386 × 277,386
  4. Step 4: Simplify right side
    128,757x = 76,942,992,996
  5. Step 5: Solve for x
    x = 76,942,992,996/128,757
  6. Step 6: Final answer
    x = 597,582.99

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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.