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Finding the Third Proportional to 135,080 and 293,944

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Solution

The third proportional to 135,080 and 293,944 is: 639,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,080 : 293,944 = 293,944 : x
  2. Step 2: Convert to fraction form
    135,080/293,944 = 293,944/x
  3. Step 3: Cross multiply
    135,080x = 293,944 × 293,944
  4. Step 4: Simplify right side
    135,080x = 86,403,075,136
  5. Step 5: Solve for x
    x = 86,403,075,136/135,080
  6. Step 6: Final answer
    x = 639,643.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.