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Finding the Third Proportional to 114,948 and 247,579.50

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Solution

The third proportional to 114,948 and 247,579.50 is: 533,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,948 : 247,579.50 = 247,579.50 : x
  2. Step 2: Convert to fraction form
    114,948/247,579.50 = 247,579.50/x
  3. Step 3: Cross multiply
    114,948x = 247,579.50 × 247,579.50
  4. Step 4: Simplify right side
    114,948x = 61,295,608,820.25
  5. Step 5: Solve for x
    x = 61,295,608,820.25/114,948
  6. Step 6: Final answer
    x = 533,246.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.