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Finding the Third Proportional to 129,416 and 283,054

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Solution

The third proportional to 129,416 and 283,054 is: 619,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,416 : 283,054 = 283,054 : x
  2. Step 2: Convert to fraction form
    129,416/283,054 = 283,054/x
  3. Step 3: Cross multiply
    129,416x = 283,054 × 283,054
  4. Step 4: Simplify right side
    129,416x = 80,119,566,916
  5. Step 5: Solve for x
    x = 80,119,566,916/129,416
  6. Step 6: Final answer
    x = 619,085.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.