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Finding the Third Proportional to 134,914 and 293,155

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Solution

The third proportional to 134,914 and 293,155 is: 636,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,914 : 293,155 = 293,155 : x
  2. Step 2: Convert to fraction form
    134,914/293,155 = 293,155/x
  3. Step 3: Cross multiply
    134,914x = 293,155 × 293,155
  4. Step 4: Simplify right side
    134,914x = 85,939,854,025
  5. Step 5: Solve for x
    x = 85,939,854,025/134,914
  6. Step 6: Final answer
    x = 636,997.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.