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Finding the Third Proportional to 113,607.50 and 246,023

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Solution

The third proportional to 113,607.50 and 246,023 is: 532,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,607.50 : 246,023 = 246,023 : x
  2. Step 2: Convert to fraction form
    113,607.50/246,023 = 246,023/x
  3. Step 3: Cross multiply
    113,607.50x = 246,023 × 246,023
  4. Step 4: Simplify right side
    113,607.50x = 60,527,316,529
  5. Step 5: Solve for x
    x = 60,527,316,529/113,607.50
  6. Step 6: Final answer
    x = 532,775.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.