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Finding the Third Proportional to 231,455.25 and 360,715.50

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Solution

The third proportional to 231,455.25 and 360,715.50 is: 562,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,455.25 : 360,715.50 = 360,715.50 : x
  2. Step 2: Convert to fraction form
    231,455.25/360,715.50 = 360,715.50/x
  3. Step 3: Cross multiply
    231,455.25x = 360,715.50 × 360,715.50
  4. Step 4: Simplify right side
    231,455.25x = 130,115,671,940.25
  5. Step 5: Solve for x
    x = 130,115,671,940.25/231,455.25
  6. Step 6: Final answer
    x = 562,163.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.