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Finding the Third Proportional to 135,002 and 312,533

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Solution

The third proportional to 135,002 and 312,533 is: 723,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,002 : 312,533 = 312,533 : x
  2. Step 2: Convert to fraction form
    135,002/312,533 = 312,533/x
  3. Step 3: Cross multiply
    135,002x = 312,533 × 312,533
  4. Step 4: Simplify right side
    135,002x = 97,676,876,089
  5. Step 5: Solve for x
    x = 97,676,876,089/135,002
  6. Step 6: Final answer
    x = 723,521.70

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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.