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Finding the Third Proportional to 135,965 and 291,607

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Solution

The third proportional to 135,965 and 291,607 is: 625,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,965 : 291,607 = 291,607 : x
  2. Step 2: Convert to fraction form
    135,965/291,607 = 291,607/x
  3. Step 3: Cross multiply
    135,965x = 291,607 × 291,607
  4. Step 4: Simplify right side
    135,965x = 85,034,642,449
  5. Step 5: Solve for x
    x = 85,034,642,449/135,965
  6. Step 6: Final answer
    x = 625,415.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.