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Finding the Third Proportional to 224,475 and 330,147.75

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Solution

The third proportional to 224,475 and 330,147.75 is: 485,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,475 : 330,147.75 = 330,147.75 : x
  2. Step 2: Convert to fraction form
    224,475/330,147.75 = 330,147.75/x
  3. Step 3: Cross multiply
    224,475x = 330,147.75 × 330,147.75
  4. Step 4: Simplify right side
    224,475x = 108,997,536,830.06
  5. Step 5: Solve for x
    x = 108,997,536,830.06/224,475
  6. Step 6: Final answer
    x = 485,566.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.