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Finding the Third Proportional to 135,676 and 297,056

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Solution

The third proportional to 135,676 and 297,056 is: 650,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,676 : 297,056 = 297,056 : x
  2. Step 2: Convert to fraction form
    135,676/297,056 = 297,056/x
  3. Step 3: Cross multiply
    135,676x = 297,056 × 297,056
  4. Step 4: Simplify right side
    135,676x = 88,242,267,136
  5. Step 5: Solve for x
    x = 88,242,267,136/135,676
  6. Step 6: Final answer
    x = 650,389.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.