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Finding the Third Proportional to 136,647 and 293,712

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Solution

The third proportional to 136,647 and 293,712 is: 631,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,647 : 293,712 = 293,712 : x
  2. Step 2: Convert to fraction form
    136,647/293,712 = 293,712/x
  3. Step 3: Cross multiply
    136,647x = 293,712 × 293,712
  4. Step 4: Simplify right side
    136,647x = 86,266,738,944
  5. Step 5: Solve for x
    x = 86,266,738,944/136,647
  6. Step 6: Final answer
    x = 631,310.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.