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Finding the Third Proportional to 133,715.25 and 293,672.25

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Solution

The third proportional to 133,715.25 and 293,672.25 is: 644,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,715.25 : 293,672.25 = 293,672.25 : x
  2. Step 2: Convert to fraction form
    133,715.25/293,672.25 = 293,672.25/x
  3. Step 3: Cross multiply
    133,715.25x = 293,672.25 × 293,672.25
  4. Step 4: Simplify right side
    133,715.25x = 86,243,390,420.06
  5. Step 5: Solve for x
    x = 86,243,390,420.06/133,715.25
  6. Step 6: Final answer
    x = 644,977.97

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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.