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Finding the Third Proportional to 135,716 and 293,772

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Solution

The third proportional to 135,716 and 293,772 is: 635,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,716 : 293,772 = 293,772 : x
  2. Step 2: Convert to fraction form
    135,716/293,772 = 293,772/x
  3. Step 3: Cross multiply
    135,716x = 293,772 × 293,772
  4. Step 4: Simplify right side
    135,716x = 86,301,987,984
  5. Step 5: Solve for x
    x = 86,301,987,984/135,716
  6. Step 6: Final answer
    x = 635,901.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.