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Finding the Third Proportional to 134,096 and 279,316

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Solution

The third proportional to 134,096 and 279,316 is: 581,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,096 : 279,316 = 279,316 : x
  2. Step 2: Convert to fraction form
    134,096/279,316 = 279,316/x
  3. Step 3: Cross multiply
    134,096x = 279,316 × 279,316
  4. Step 4: Simplify right side
    134,096x = 78,017,427,856
  5. Step 5: Solve for x
    x = 78,017,427,856/134,096
  6. Step 6: Final answer
    x = 581,802.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.