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Finding the Third Proportional to 133,089 and 295,703

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Solution

The third proportional to 133,089 and 295,703 is: 657,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089 : 295,703 = 295,703 : x
  2. Step 2: Convert to fraction form
    133,089/295,703 = 295,703/x
  3. Step 3: Cross multiply
    133,089x = 295,703 × 295,703
  4. Step 4: Simplify right side
    133,089x = 87,440,264,209
  5. Step 5: Solve for x
    x = 87,440,264,209/133,089
  6. Step 6: Final answer
    x = 657,005.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.