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Finding the Third Proportional to 153,200 and 228,873

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Solution

The third proportional to 153,200 and 228,873 is: 341,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,200 : 228,873 = 228,873 : x
  2. Step 2: Convert to fraction form
    153,200/228,873 = 228,873/x
  3. Step 3: Cross multiply
    153,200x = 228,873 × 228,873
  4. Step 4: Simplify right side
    153,200x = 52,382,850,129
  5. Step 5: Solve for x
    x = 52,382,850,129/153,200
  6. Step 6: Final answer
    x = 341,924.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.