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Finding the Third Proportional to 133,808.50 and 293,859

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Solution

The third proportional to 133,808.50 and 293,859 is: 645,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,808.50 : 293,859 = 293,859 : x
  2. Step 2: Convert to fraction form
    133,808.50/293,859 = 293,859/x
  3. Step 3: Cross multiply
    133,808.50x = 293,859 × 293,859
  4. Step 4: Simplify right side
    133,808.50x = 86,353,111,881
  5. Step 5: Solve for x
    x = 86,353,111,881/133,808.50
  6. Step 6: Final answer
    x = 645,348.48

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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.