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Finding the Third Proportional to 153,186.75 and 224,629.88

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Solution

The third proportional to 153,186.75 and 224,629.88 is: 329,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,186.75 : 224,629.88 = 224,629.88 : x
  2. Step 2: Convert to fraction form
    153,186.75/224,629.88 = 224,629.88/x
  3. Step 3: Cross multiply
    153,186.75x = 224,629.88 × 224,629.88
  4. Step 4: Simplify right side
    153,186.75x = 50,458,580,742.52
  5. Step 5: Solve for x
    x = 50,458,580,742.52/153,186.75
  6. Step 6: Final answer
    x = 329,392.59

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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.