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Finding the Third Proportional to 153,033.05 and 224,748.42

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Solution

The third proportional to 153,033.05 and 224,748.42 is: 330,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,033.05 : 224,748.42 = 224,748.42 : x
  2. Step 2: Convert to fraction form
    153,033.05/224,748.42 = 224,748.42/x
  3. Step 3: Cross multiply
    153,033.05x = 224,748.42 × 224,748.42
  4. Step 4: Simplify right side
    153,033.05x = 50,511,853,135.30
  5. Step 5: Solve for x
    x = 50,511,853,135.30/153,033.05
  6. Step 6: Final answer
    x = 330,071.54

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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.