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Finding the Third Proportional to 224,048.25 and 354,940.88

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Solution

The third proportional to 224,048.25 and 354,940.88 is: 562,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,048.25 : 354,940.88 = 354,940.88 : x
  2. Step 2: Convert to fraction form
    224,048.25/354,940.88 = 354,940.88/x
  3. Step 3: Cross multiply
    224,048.25x = 354,940.88 × 354,940.88
  4. Step 4: Simplify right side
    224,048.25x = 125,983,024,745.77
  5. Step 5: Solve for x
    x = 125,983,024,745.77/224,048.25
  6. Step 6: Final answer
    x = 562,303.10

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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.