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Finding the Third Proportional to 133,464 and 293,178

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Solution

The third proportional to 133,464 and 293,178 is: 644,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,464 : 293,178 = 293,178 : x
  2. Step 2: Convert to fraction form
    133,464/293,178 = 293,178/x
  3. Step 3: Cross multiply
    133,464x = 293,178 × 293,178
  4. Step 4: Simplify right side
    133,464x = 85,953,339,684
  5. Step 5: Solve for x
    x = 85,953,339,684/133,464
  6. Step 6: Final answer
    x = 644,018.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.