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Finding the Third Proportional to 113,877 and 246,532.50

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Solution

The third proportional to 113,877 and 246,532.50 is: 533,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,877 : 246,532.50 = 246,532.50 : x
  2. Step 2: Convert to fraction form
    113,877/246,532.50 = 246,532.50/x
  3. Step 3: Cross multiply
    113,877x = 246,532.50 × 246,532.50
  4. Step 4: Simplify right side
    113,877x = 60,778,273,556.25
  5. Step 5: Solve for x
    x = 60,778,273,556.25/113,877
  6. Step 6: Final answer
    x = 533,718.60

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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.