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Finding the Third Proportional to 134,135 and 279,289

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Solution

The third proportional to 134,135 and 279,289 is: 581,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,135 : 279,289 = 279,289 : x
  2. Step 2: Convert to fraction form
    134,135/279,289 = 279,289/x
  3. Step 3: Cross multiply
    134,135x = 279,289 × 279,289
  4. Step 4: Simplify right side
    134,135x = 78,002,345,521
  5. Step 5: Solve for x
    x = 78,002,345,521/134,135
  6. Step 6: Final answer
    x = 581,521.20

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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.