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Finding the Third Proportional to 225,999 and 341,913.94

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Solution

The third proportional to 225,999 and 341,913.94 is: 517,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,999 : 341,913.94 = 341,913.94 : x
  2. Step 2: Convert to fraction form
    225,999/341,913.94 = 341,913.94/x
  3. Step 3: Cross multiply
    225,999x = 341,913.94 × 341,913.94
  4. Step 4: Simplify right side
    225,999x = 116,905,140,656.75
  5. Step 5: Solve for x
    x = 116,905,140,656.75/225,999
  6. Step 6: Final answer
    x = 517,281.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.