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Finding the Third Proportional to 133,893 and 295,056

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Solution

The third proportional to 133,893 and 295,056 is: 650,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,893 : 295,056 = 295,056 : x
  2. Step 2: Convert to fraction form
    133,893/295,056 = 295,056/x
  3. Step 3: Cross multiply
    133,893x = 295,056 × 295,056
  4. Step 4: Simplify right side
    133,893x = 87,058,043,136
  5. Step 5: Solve for x
    x = 87,058,043,136/133,893
  6. Step 6: Final answer
    x = 650,206.08

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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.