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Finding the Third Proportional to 133,114 and 293,006

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Solution

The third proportional to 133,114 and 293,006 is: 644,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,114 : 293,006 = 293,006 : x
  2. Step 2: Convert to fraction form
    133,114/293,006 = 293,006/x
  3. Step 3: Cross multiply
    133,114x = 293,006 × 293,006
  4. Step 4: Simplify right side
    133,114x = 85,852,516,036
  5. Step 5: Solve for x
    x = 85,852,516,036/133,114
  6. Step 6: Final answer
    x = 644,954.82

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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.