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Finding the Third Proportional to 135,027 and 312,594

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Solution

The third proportional to 135,027 and 312,594 is: 723,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,027 : 312,594 = 312,594 : x
  2. Step 2: Convert to fraction form
    135,027/312,594 = 312,594/x
  3. Step 3: Cross multiply
    135,027x = 312,594 × 312,594
  4. Step 4: Simplify right side
    135,027x = 97,715,008,836
  5. Step 5: Solve for x
    x = 97,715,008,836/135,027
  6. Step 6: Final answer
    x = 723,670.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.