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Finding the Third Proportional to 224,041.50 and 354,930.75

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Solution

The third proportional to 224,041.50 and 354,930.75 is: 562,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,041.50 : 354,930.75 = 354,930.75 : x
  2. Step 2: Convert to fraction form
    224,041.50/354,930.75 = 354,930.75/x
  3. Step 3: Cross multiply
    224,041.50x = 354,930.75 × 354,930.75
  4. Step 4: Simplify right side
    224,041.50x = 125,975,837,295.56
  5. Step 5: Solve for x
    x = 125,975,837,295.56/224,041.50
  6. Step 6: Final answer
    x = 562,287.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.