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Finding the Third Proportional to 129,416 and 276,826

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Solution

The third proportional to 129,416 and 276,826 is: 592,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,416 : 276,826 = 276,826 : x
  2. Step 2: Convert to fraction form
    129,416/276,826 = 276,826/x
  3. Step 3: Cross multiply
    129,416x = 276,826 × 276,826
  4. Step 4: Simplify right side
    129,416x = 76,632,634,276
  5. Step 5: Solve for x
    x = 76,632,634,276/129,416
  6. Step 6: Final answer
    x = 592,141.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.