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Finding the Third Proportional to 224,023.50 and 354,902.63

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Solution

The third proportional to 224,023.50 and 354,902.63 is: 562,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,023.50 : 354,902.63 = 354,902.63 : x
  2. Step 2: Convert to fraction form
    224,023.50/354,902.63 = 354,902.63/x
  3. Step 3: Cross multiply
    224,023.50x = 354,902.63 × 354,902.63
  4. Step 4: Simplify right side
    224,023.50x = 125,955,873,231.89
  5. Step 5: Solve for x
    x = 125,955,873,231.89/224,023.50
  6. Step 6: Final answer
    x = 562,244.02

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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.