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Finding the Third Proportional to 134,634 and 283,196

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Solution

The third proportional to 134,634 and 283,196 is: 595,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,634 : 283,196 = 283,196 : x
  2. Step 2: Convert to fraction form
    134,634/283,196 = 283,196/x
  3. Step 3: Cross multiply
    134,634x = 283,196 × 283,196
  4. Step 4: Simplify right side
    134,634x = 80,199,974,416
  5. Step 5: Solve for x
    x = 80,199,974,416/134,634
  6. Step 6: Final answer
    x = 595,688.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.